Combinations, Permutations, Factorials

₅₂P₃

• 52

• 2652

• 132600

• 6497400

₃P₁

• 0

• 1

• 3

• 6

 6!

• 120

• 720

• 5040

• 40320

Find the number of possibilities:
A group of 25 people are going to run a race.  The top 8 finishers advance to finals.

• 625

• 4.36 X 10¹⁰

• 1,081,575

What is the formula for Permutations?

• n!

• ^n!∕_(n-r)!

• ^n!∕_(n-r)! r!

• ^r!∕_{(r-n)! n!}

Eva has eight glasses of water.  In how many different orders can the glasses of water be arranged?

• 8

• 64

• 8!

• 56

How would you solve?
A book club offers a choice of 8 books from a list of 40.  In how many ways can a member make a collection?

• Permutation

• Combination

• Factorial

• MPC

The ski club with ten members is to choose three officers for captain, co-captain and secretary.  How many ways can those offices be filled?

• 720

• 120

• 10!

A Mathmatics test contains five different questions labeled A, B, C, D, and E. You are supposed to choose 2 to answer. How many different ways are there to do this?

• 5

• 10

• 15

How many different ways can 9 people line up for a picture?

• 362 880

• 40 320

• 387 420 489