Find the number of ways to arrange the letters A, B, B, C, C, C. (Both B's are identical, and all three C's are identical.)

and

Alison has five different hats, six different bracelets, and seven cats. She wants to take a selfie with a hat, a bracelet, and two cats. How many different selfies can she take?

Can someone please explain to me these problems?

Guest Mar 5, 2019

#1**+3 **

1. 2 B's and 2 C's repeat, so the total number of possible ways to arrange it is \(\frac{6!}{2!*3!}=\boxed{60}.\)

2. I think the answer is \(\binom{5}{1}*\binom{6}{1}*\binom{7}{2}=\boxed{630}. \)

.tertre Mar 5, 2019