Factorials,Permutations,Combinations

Find 8!

• 40320

• 10080

• 8

• 0

Evaluate.

 $10^P4$  

• 6

• 0

• 210

• 5040

A club has 50 members. They need to select 5 different officers. How many different groups of officers can they make if no one can more than one office?

• 10

• 250

• 254251200

• 64836293874393

Evaluate

 $12^C3$  

• 220

• 4

• 9

• 1320

A book club has 15 members. They need to select a committee of 3 people to create a list of new possible book choices. How many 3 person committees can they make?

• 2730

• 12

• 5

• 455