![Using the FACTORIAL RULE, respond to the following questions. Each of these distinct questions is asking you to count the total number or combinations using this rule. How many ways can 7 paintings be lined up [Choose ] on a wall? How many 5-number license plates can be Choose ] made using the digits 0, 2, 4, 6, 8 if repetitions are NOT allowed? How many 4-digit numbers can be formed ifChoose each one uses all the digits 0, 1, 2, 3, 4, 5, 6, 7 where repetitions are NOT allowed? 10 different books are on a shelf. In how Choose ] many different ways can you arrange them?](http://img.homeworklib.com/questions/ea2529c0-c889-11ea-aff2-c92f9dbdac4e.png?x-oss-process=image/resize,w_560)
Homework Answers
Answer - 1: Number of ways 7 paintings can be lined up = 7! = 7*6*5*4*3*2*1 = 5040
Answer - 2: Number of license plates = 4*4*3*2*1 = 96
Answer - 3: Number of 4 - digit numbers = 6*6*5*4 = 720
Answer - 4: Number of ways = 10! = 10*9*8*7*6*5*4*3*2*1 = 3628800
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Using the FACTORIAL RULE, respond to the following questions. Each of these distinct questions is asking...
MTH 157 Mon, .July 23, 2018 PROBABILITY TEST 4 COUNTING TEOedaesao You must use pencil,...
MTH 157 Mon, .July 23, 2018 PROBABILITY TEST 4 COUNTING TEOedaesao You must use pencil, erase clearly, be neat and onderty. Yeu must show your steps. What numbers are you using and how are you using them to get your answers. Dem just give m. on.???. Iwill count it totally wrog Allu ers must b. spp ed by your work. Your work must be orgonized so that I can understand how you get from one step to another step....
46) 46) Elise has put 5 cans (all of the same size) on her kitchen counter,...
46) 46) Elise has put 5 cans (all of the same size) on her kitchen counter, 2 cans of vegetables, 2 cans of soup, and 1 can of poaches. Her son, Ryan, takes the labels off the cans and throws them away. Elise then choones 2 cans (without replacement) at random to open. Find the probability that she will open at least I can of soup A) 7 10 B) Solve the problem 47) How many four-digit numbers can be...
Problem1 Answer the following questions with a number or a simple formula involving factorials an...
6.042 - 1
Problem1 Answer the following questions with a number or a simple formula involving factorials and binomial coef. ficients. Briefly explain your answers. (a) How many ways are there to order the 26 letters of the alphabet so that no two of the vowels a, e, i, o, u appear consecutively and the last letter in the ordering is not a vowel? Hint: Every vowel appears to the left of a consonant ters of the alphabet so that...
Suppose we want to choose 4 letters, without replacement, from 17 distinct letters. (a) How many...
Suppose we want to choose 4 letters, without replacement, from 17 distinct letters. (a) How many ways can this be done, if the order of the choices is not taken into consideration? x 6 ? (b) How many ways can this be done, if the order of the choices is taken into consideration? A teacher wanted to fairly choose three students from a class of 24 to raise the school's flag. He assigned each student a two-digit number from 01...
1) A: List all possible outcomes (the sample space) for the tree diagram below B: Calculate...
1) A: List all possible outcomes (the sample space) for the tree diagram below B: Calculate the number of all possible outcomes: bb 2) Based on the tree diagram below, how many ways can a coin be tossed four times and get exactly 3 tails? Hнн HHT HHHH HHHT HHTH H HTT HTHH HTHT HTTH HTTT THH T THT TTHS THHH THHT THTH THTT TTHH ΤΤΗΤ ΤΤΤΗ ΤΤΤΤ ΤΤΤ 3) How many 12-letter "words" (real or made-up) can be made...
please I wanted answered step by step 9) How many 4-digit numbers can be formed using...
please I wanted answered step by step
9) How many 4-digit numbers can be formed using the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, if repetitions of digits are allowed? A) 256 four-digit numbers B) 8999 four-digit numbers C) 10,000 four-digit numbers D) 9000 four-digit numbers 10) If $4100 earned simple interest of $233.02 in 11 months what was the simple interest rate? A) 7.2% B) 6.2% C) 8.2% D) 5.2% 11) How long will it...
a. Determine the number of different license plates that can be created using the following format....
a. Determine the number of different license plates that can be created using the following format. Assume that a license plate consists of seven alphanumeric characters using numbers (0–9) and capital letters (A–Z). Find how many unique license plates can be printed using any of the 36 alphanumeric characters without duplication in each of the seven alphanumeric characters, i.e., no alphanumeric character appears more than once in any license plate.
How many 4-digit numbers can be formed using only the digits {1,2,3} if repetition is allowed...
How many 4-digit numbers can be formed using only the digits {1,2,3} if repetition is allowed and the number must contain the digit 3 somewhere. Hint: it may be easier to first count the numbers that don't contain the digit 3.
5. + 0/4 points | Previous Answers StatsByLO1 9.10.010.CH. A set of license plates has four...
5. + 0/4 points | Previous Answers StatsByLO1 9.10.010.CH. A set of license plates has four letters followed by 5 digits. (a) In how many ways can a license plate be made with four letters followed by 5 digits? (Letters or digits may be repeated.) 4569760 x (b) In how many ways can a license plate be made with four different letters followed by 5 different digits? Enter an exact number. (c) If a license plate is made with four...
4. Consider a chessboard, shown below. At starting at the square al (the lower right hand...
4. Consider a chessboard, shown below. At starting at the square al (the lower right hand corner), you can go one step up or one step right at each move. The procedure stops until the point h8 (the upper right corner) is reached. a) How many different paths from al to h8 are possible? (b) How many differnt paths from al to h8 are possible if each path must pass through the square e4? 5. If 10 new teachers are...
MTH 157 Mon, .July 23, 2018 PROBABILITY TEST 4 COUNTING TEOedaesao You must use pencil, erase clearly, be neat and onderty. Yeu must show your steps. What numbers are you using and how are you using them to get your answers. Dem just give m. on.???. Iwill count it totally wrog Allu ers must b. spp ed by your work. Your work must be orgonized so that I can understand how you get from one step to another step....
46) 46) Elise has put 5 cans (all of the same size) on her kitchen counter, 2 cans of vegetables, 2 cans of soup, and 1 can of poaches. Her son, Ryan, takes the labels off the cans and throws them away. Elise then choones 2 cans (without replacement) at random to open. Find the probability that she will open at least I can of soup A) 7 10 B) Solve the problem 47) How many four-digit numbers can be...
6.042 - 1
Problem1 Answer the following questions with a number or a simple formula involving factorials and binomial coef. ficients. Briefly explain your answers. (a) How many ways are there to order the 26 letters of the alphabet so that no two of the vowels a, e, i, o, u appear consecutively and the last letter in the ordering is not a vowel? Hint: Every vowel appears to the left of a consonant ters of the alphabet so that...
Suppose we want to choose 4 letters, without replacement, from 17 distinct letters. (a) How many ways can this be done, if the order of the choices is not taken into consideration? x 6 ? (b) How many ways can this be done, if the order of the choices is taken into consideration? A teacher wanted to fairly choose three students from a class of 24 to raise the school's flag. He assigned each student a two-digit number from 01...
1) A: List all possible outcomes (the sample space) for the tree diagram below B: Calculate the number of all possible outcomes: bb 2) Based on the tree diagram below, how many ways can a coin be tossed four times and get exactly 3 tails? Hнн HHT HHHH HHHT HHTH H HTT HTHH HTHT HTTH HTTT THH T THT TTHS THHH THHT THTH THTT TTHH ΤΤΗΤ ΤΤΤΗ ΤΤΤΤ ΤΤΤ 3) How many 12-letter "words" (real or made-up) can be made...
please I wanted answered step by step
9) How many 4-digit numbers can be formed using the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, if repetitions of digits are allowed? A) 256 four-digit numbers B) 8999 four-digit numbers C) 10,000 four-digit numbers D) 9000 four-digit numbers 10) If $4100 earned simple interest of $233.02 in 11 months what was the simple interest rate? A) 7.2% B) 6.2% C) 8.2% D) 5.2% 11) How long will it...
5. + 0/4 points | Previous Answers StatsByLO1 9.10.010.CH. A set of license plates has four letters followed by 5 digits. (a) In how many ways can a license plate be made with four letters followed by 5 digits? (Letters or digits may be repeated.) 4569760 x (b) In how many ways can a license plate be made with four different letters followed by 5 different digits? Enter an exact number. (c) If a license plate is made with four...
4. Consider a chessboard, shown below. At starting at the square al (the lower right hand corner), you can go one step up or one step right at each move. The procedure stops until the point h8 (the upper right corner) is reached. a) How many different paths from al to h8 are possible? (b) How many differnt paths from al to h8 are possible if each path must pass through the square e4? 5. If 10 new teachers are...
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