Counting a) Find the number of indistinguishable permutations of the letters in MATTRESSES b) How many 10 letter strings containing only a's, b's, and c's have 3 a's and 2 b's?

Q: How many strings of length two can be formed by using the letters A, B, C, D E and F without…

A: Given letters, A, B, C, D, E, F We have to find number of strings of length two

Q: how many length twenty strings of a's, b's, and c's have ten a's, six b's, and four c's

A: 20!10!×6!×4! in which 20 is used for total string length.  10 for a's and   6 for b's , 4 for c's

Q: In how many ways can 12 people line up in a row? 144 O 12 O 1212 479,001,600

A: Multiplication rule: If there are a ways of doing something and b ways of doing another thing, there…

Q: runners are in a race. How many different ways can they finish in 1 , 2 st nd, and 3rd place?

A:

Q: A large number of three letter words in English follow the pattern consonant- vowel -consonant in…

A: 2 consonants out of 17 can be selected in P(17,2)=272 ways.

Q: How many three-letter permutations can be formed from the first nine letters of the alphabet?…

A: Given that  How many three-letter permutations can be formed from the first nine letters of the…

Q: How many Combinations 3-letter Possible from letters A, E, I, O, and 4?

A: Here the given letters are ,      A,E,I,O,U  So, total number of letters , n=5 Using formula ,…

Q: A shop has 6 types of candy. How many ways are there to select 24 pieces of candy with at least two…

A: The combination principles can be used to select a number of objects from a bundle. The number of…

Q: Suppose you have ten blocks with the letter A, A, C, E, E, E, R, S, S, and T. How many ways can we…

A: 10 blocks with letters :  A, A, C, E, E, E, R, S, S, TNumber of ways to order all 10 blocks = ?

Q: 9. How many permutations of the letters A, B, C, D, E, F, G are there in which the three letters ABC…

A:

Q: how many possible combinations are there for computer password that must contain six letters a…

A: Each of the places can take any letters from A to Z , as no repeat condition is given. Therefore,…

Q: When ordering a certain type of computer hard drive choices of monitor. In how many ways can a…

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Q: How many ways are there of arranging the 26 letters of the alphabet so that none of the words be,…

A:

Q: How many possible permutations can be formed from the word “CORONA”

A:

Q: How many permutations are there of the letters in the word "TENNESSEE"?

A: In word "TENNESSEE", Number of E's = 4 Number of N's = 2 Number of S's = 2 Number of T = 1 Total…

Q: How many permutations are there of the letters in the word "PEPPERMINT"?

A:

Q: What is the number of different permutations consisting of 3 letters each that can be formed from…

A: The no. of permutations possible for elements from available  elements is given as:. Where  and .

Q: Determine the number of permutations (arrangements) possible of 7 things taken 3 at a time.

A: We have to determine the number of possible permutations of 7 things taken  at a time.So,