permutations and combinations practice

Determine whether the following scenarios are a permutation or a combination:
 
Selecting a lead and an understudy for a school play.

• Combination
• Permutation

Choosing 3 toppings for your sundae out of a list of 15.

• Permutation
• Combination
• Neither

Picking a President, Vice-President, and Secretary from a group of 12.

• Permutation
• Combination
• Neither

Permutation, combination, or neither?
A team of 8 basketball players need to choose a co-captain and captain.

• combination
• permutation
• neither

Permutation, combination, or neither?
There are 45 applicants for three Computer Programmer job positions.

• combination
• permutation
• neither

Evaluate each permutation or combination.

• 330

• 120

• 210

Evaluate each permutation or combination.

• 840

• 720

• 924

7!

• 4050
• 5400
• 5040
• 4500

Which is the correct set up for $_{32}C_7$ . 

•  $\frac{25!}{32!7!}$  

•  $\frac{32!}{25!}$  

•  $\frac{32!}{25!7!}$  

•  $\frac{7!}{25!}$  

Calculate ₈C_5.