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 in "GAUSS" is calculated by dividing the factorial of the total number of letters by the factorial of the number of times each letter is repeated. Since there are 5 letters in total and the letter "S" is repeated twice, the formula is 5! / 2! = 120 / 2 = 60 distinguishable permutations.

Find the Number of Distinguishable Permutations of the Group of Letters