homework help please?

Question

ok i have 3 questions please help me!

1. how many different 2-letter arrangements can be selected from the 5 letters in the word candy ?

2. in how many different ways can a president, vice-president. and secretary be elected from a class of 32 students?

in how many ways can you arrange 6 things, 3 at a time?

Answer 1

1) Combination of 5 choose 2
C(5,2) = 5! / (3! 2!) = 5*4/2 = 10

2) Permutation of 32 choose 3
P(32,3) = 32! / 29! = 32*31*30 = 29,760

3) You're arranging, so order matters.
P(6,3) = 6! / 3! = 6*5*4 = 120