Question

Find the number of ways to arrange the letters in CRITICS.

Answer 1

if all the letters were different, you would have \[7!=7\times 6\times 5\times 4\times 3\times 2\] but since you cannot tell the letters i and c apart, you have to divide by 2 times 2 = 4 so it is
\[\frac{7!}{2!\times 2!}\]

Answer 2

ok, got it. Thank you

Answer 3

yw

Answer 4

ok what about this one
Find the number of ways to arrange the letters in GIGGLE. I know the answer is 120.

what I did is 7!
------
3! x 2!

but I got 60, not 120.

What did I do wrong?

Answer 5

I mean the numerator is 6!, not 7

Answer 6

oh I see my mistake