Probability question

Question

A box of 12 eggs contains one broken egg. In how many ways can 4 eggs be selected from the box and,

1. get the broken egg?

2. not get the broken egg?

Answer 1

1) 4! * (11 choose 3) <--- there are (11 choose 3) choices for the non-broken egg and they can be

arranged 4! ways

2) 11 choose 4