Find the number of distinguishable permutations of the group of letters. G, A, U, S, S
A) 60
B) 120
C) 30
D) 5
E) 15

Name: Find the number of distinguishable permutations of the group of letters. G, A, U, S, S A) 60 B) 120 C) 30 D) 5 E) 15
Brand: Quizplus
Rating: 4.9 (35 reviews)

Question

Quizplus · Accepted Answer

The total number of permutations of the letters is 5! (since there are 5 letters), but since the letter 'S' is repeated twice, we divide by 2! to account for the repetition. Thus, the number of distinguishable permutations is 5!/2! = 120/2 = 60.

Find the Number of Distinguishable Permutations of the Group of Letters