Solve the problem.
-How many distinguishable permutations of letters are possible using the letters in the word COMMITTEE?
A) 362,880
B) 181,440
C) 90,720
D) 45,360

Question

Quizplus · Accepted Answer

The word COMMITTEE has 9 letters where C, O, M, I, and T are unique, and M, T, and E repeat. The formula for permutations of a multiset is n! / (n1! * n2! * ... * nk!), where n is the total number of letters, and n1, n2, ..., nk are the frequencies of the repeated letters. Thus, the calculation is 9! / (2! * 2! * 2!) = 362,880 / 8 = 45,360.

Solve the Problem. -How Many Distinguishable Permutations of Letters Are Possible Using the Possible