1- If four alphabets are to be chosen from L, M, N, O, P, Q such that repetition is not allowed then in how many ways it can be done? 2- Sally must choose a 5-digit PIN. Each digit can be chosen from 0 to 9 and the same digit can be used repeatedly. How many possible PIN numbers can be created? 3- Jenny has 8 tops, 5 bottoms, 2 belts, and 2 bracelets. Assuming that everything matches, how many...
2. How many ways can you pick a license plate with 3 letters, then 4 numbers? 3. How many ways can you list 4 numbers out of a list consisting of 7 numbers without repetition?
3. Consider [5 letters of a, b, c, d, e' are taken 2 at a time, no repetition (25 pt.) (a) LIST all cases for permutations and determine permutations (number) (b) LIST all cases for combinations and determine combinations (number)
Use a tree diagram for the following. a. Find the number of ways 2 letters can be choosen from the set {A, B, C, D } if order is important and repetition is allowed. b. Reconsider part a if no repeats are allowed. c. Find the number of combinations of 4 elements taken 2 at a time. Does this answer differ from part a or b?
Consider computer words consisting of six characters each,If the characters are chosen from a b c d 2 3 4 5 6, each of which may be used at most once, how many words can be formed: a)with no other restrictions? b)if the third and fourth characters must be digits and the other characters must be letters? c)If there must be 3 digits and 3 letters d)if no two digits and no two letters maybe adjacent?
1. (a) (i) How many different six-digit natural numbers may be formed from the digits 2, 3, 4, 5, 7 and 9 if digits may not be repeated? (ii) How many of the numbers so formed are even? (iii) How many of the numbers formed are divisible by 3? (iv) How many of the numbers formed are less than 700,000? (b) JACK MURPHY’s seven character password consists of four let- ters chosen from the ten letters in his name (all...
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...
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...
Can you help me solve these: 6. From 10 mathematics students, four are chosen to represent a math symposium. In how many ways can this be done with no restrictions? A) 210 B) 120 C) 200 D) 126 E) 160 7. From a group of 10 boys and 8 girls, 6 students are chosen at random. How many of these selections consist of exactly four girls? A) 18564 B) 3150 C) 115 D) 225 E) 18500 8. From 14 mathematics...
Use the multiplication principle to solve the problem. License plates are made using 3 letters followed by 2 digits. How many plates can be made if repetition of letters and digits is allowed? 100,000 175,760 11,881,376 1.757,600