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

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