Homework Answers
a) number of total permutation of 6 different alphabets =6! =720
b) number of such words =arrange remaining 4 alphabets =4! =24
c) probability =24/720 =1/30
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3. Consider rearranging the letters in the word "FATHER" (a) Find the number of 6 letter...
I have 4 questions dont know can anyone help me with any of it? ii) Consider the 11 letter word MATHEMATICS a) How many distinct words can be formed by rearranging its letters? b) How many 4 letter wo...
I have 4 questions dont know can anyone help me with any of
it?
ii) Consider the 11 letter word MATHEMATICS a) How many distinct words can be formed by rearranging its letters? b) How many 4 letter words can be formed using the letters in the word MATHEMATICS, using letters no more often than they appear in the word? ii) Consider the equation where xi, x2, 13, T4,5 and re are non-negative integers a) How many solutions are there...
#4 How many different words (letter sequences) can be obtained by rearranging the letters in the...
#4 How many different words (letter sequences) can be obtained by rearranging the letters in the word MASSACHUSETTS?
A code word consists of 2 letters followed by 7 digits. The first letter must be...
A code word consists of 2 letters followed by 7 digits. The first letter must be and an A or a w and the last digit cannot be zero. Find the total number of code words possible for the following conditions. 7) Letters can be repeated but not digits Letter cannot be repeated but digits can a. b. 8) A store manager wishes to display 10 different f food in a row In how many
A 6-letter “word” is formed by selecting 6 of the 26 letters without replacement. Let A1...
A 6-letter “word” is formed by selecting 6 of the 26 letters without replacement. Let A1 be the set of all words beginning with X and A2 be the set of all words ending with Y. Find the number of distinct words in (a) ?,∩?., (b) ?,∪?..
How many 6-letter code words can be formed from the letters T, O, U, DL, Y...
How many 6-letter code words can be formed from the letters T, O, U, DL, Y if no letter is repeated? If letters can be repeated? If adjacent letters must be different? There are possible 6-letter code words if no letter is repeated. (Type a whole number.) There are possible 6-letter code words if letters can be repeated. (Type a whole number) There are possible 6-letter code words if adjacent letters must be different. (Type a whole number.)
I. How many 5-letter passwords (letters may be repeated) can be created from the monkey type- wri...
i. How many 5-letter passwords (letters may be repeated) can be created from the monkey type- writer from Q1 if it is forbidden for a password to begin and end with the same letter? Answer: 11. Using the monkey typewriter from Q1, how many 8-letter words are there consisting of 8 distinct letters that contain the word 'APE' (as 3 consecutive) letters within the 8-letter word? Answer: iii. Suppose that a group of 9 inhabitants of the Island of Knights...
How many three-letter "words" can be made from 6 letters "FGHIJK" if repetition of letters (a)...
How many three-letter "words" can be made from 6 letters "FGHIJK" if repetition of letters (a) is allowed? An access code consists of 1 letter of the alphabet followed by 6 digits. (Digits are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.) How many different access codes are possible? A jar contains 9 red marbles, numbered 1 to 9, and 12 blue marbles numbered 1 to 12. a) A marble is chosen at random. If you're told the...
How many distinct 5 letter words can be made by arranging the letters ENGLISH if the word must start with L and end with either S or G?
How many distinct 5 letter words can be made by arranging the letters ENGLISH if the word must start with L and end with either S or G?
7. Suppose that in a certain state, all automobile license plates have three uppercase letters followed...
7. Suppose that in a certain state, all automobile license plates have three uppercase letters followed by three digits. (a) (5 points) How many different license plates are possible? (b) (5 points) How many license plates could begin with A, end in 0, and in which all the letters and digits are distinct? (c) (5 points) What is the probability that a randomly chosen license plates begins with A, ends with O, and all its letters and digits are distinct?
please provide the answers clearly 4. How many distinct permutations are there of the letters in...
please provide the answers clearly
4. How many distinct permutations are there of the letters in the word (a) great? (b) State which theorem from the text is applicable to solving part (a) (c) greet? (d) probability? e) State which theorem from the text is applicable to solving part (d). (f) probability that begin and end with the letter b? 5. A college football team plays 10 games during the season. In how many ways can it end the season...
I have 4 questions dont know can anyone help me with any of
it?
ii) Consider the 11 letter word MATHEMATICS a) How many distinct words can be formed by rearranging its letters? b) How many 4 letter words can be formed using the letters in the word MATHEMATICS, using letters no more often than they appear in the word? ii) Consider the equation where xi, x2, 13, T4,5 and re are non-negative integers a) How many solutions are there...
#4 How many different words (letter sequences) can be obtained by rearranging the letters in the word MASSACHUSETTS?
A code word consists of 2 letters followed by 7 digits. The first letter must be and an A or a w and the last digit cannot be zero. Find the total number of code words possible for the following conditions. 7) Letters can be repeated but not digits Letter cannot be repeated but digits can a. b. 8) A store manager wishes to display 10 different f food in a row In how many
How many 6-letter code words can be formed from the letters T, O, U, DL, Y if no letter is repeated? If letters can be repeated? If adjacent letters must be different? There are possible 6-letter code words if no letter is repeated. (Type a whole number.) There are possible 6-letter code words if letters can be repeated. (Type a whole number) There are possible 6-letter code words if adjacent letters must be different. (Type a whole number.)
i. How many 5-letter passwords (letters may be repeated) can be created from the monkey type- writer from Q1 if it is forbidden for a password to begin and end with the same letter? Answer: 11. Using the monkey typewriter from Q1, how many 8-letter words are there consisting of 8 distinct letters that contain the word 'APE' (as 3 consecutive) letters within the 8-letter word? Answer: iii. Suppose that a group of 9 inhabitants of the Island of Knights...
7. Suppose that in a certain state, all automobile license plates have three uppercase letters followed by three digits. (a) (5 points) How many different license plates are possible? (b) (5 points) How many license plates could begin with A, end in 0, and in which all the letters and digits are distinct? (c) (5 points) What is the probability that a randomly chosen license plates begins with A, ends with O, and all its letters and digits are distinct?
please provide the answers clearly
4. How many distinct permutations are there of the letters in the word (a) great? (b) State which theorem from the text is applicable to solving part (a) (c) greet? (d) probability? e) State which theorem from the text is applicable to solving part (d). (f) probability that begin and end with the letter b? 5. A college football team plays 10 games during the season. In how many ways can it end the season...
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