Question

Find the number 21
of permutations of the
letters of the word
GUJARAT.​

Answer 1

Answer:

total no of permutations are 2520

the word is GUJARAT

total letters are 7 therefore,

n= 7

letter A is repeated 2 times therefore,

p=2

$no \: of \: permutations = \frac{n!}{p!} \\ = \frac{7!}{2!} \\ = \frac{7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1}{2 \times 1} \\ = 7 \times 6 \times 5 \times 4 \times 3 \\ = 2520$