Combinations Permutations

Rylan’s basketball team has 11 players. How many ways can his coach choose five starting players?

• 462

• 55440

• 55

• 1000

Sarah plays softball over the summer.  If there are 10 players on the team, how many ways can the coach make a batting order that includes all players?

• 1
• 3628800
• 100
• 1814400

There are 125 juniors at the high school. How many ways can they elect a president, vice president,and secretary?

• 1906500

• 317750

• 375

• 1953125

Determine the number of 4-letter arrangements that can be made using the word RHOMBUS.

• 5040

• 35

• 28

• 840

Permutation or Combination?

There are eight seniors on the football team that are being considered as team captains.

If there will be 3 team captains, how many different ways can 3 of these seniors be

chosen as captains?

• Permutation

• Combination

Calculate ₈P₂

Mathematical Equivalence

OFF

Ten students in your math class are presenting unique proofs to their classmates.  The order in which the proofs are chosen to be presented is random.   Find the probability that the proof using the HL Theorem is chosen first and your proof on CPCTC Theorem is chosen to go second.  

• 1/10

• 1/10!

• 4/5

• 1/90

How many ways can 8 runners finish in the top 3 places where the prizes for 1^st, 2^nd, and 3^rd are all different and matter?

Mathematical Equivalence

ON

The Nebraska license plate has 6 characters, each one filled with a number (0-9) or a letter. How many license plates are possible?

• 36

• 2176782336

• 60

• 1402410240

Ashlyn needs to bring a dessert to her dinner party. If the bakery has eight pies to choose from, how many ways can Ashlyn choose three?

• 336

• 56

• 24

• 100