Combinations and Probability

If all items chosen are treated the same it is a ....

• Comparision

• Permutation

• Combination

• Position

What is the n value for choosing 5 cards from a standard deck of cards? 

• 2

• 5

• 13

• 52

What is the r value for choosing 5 cards from a standard deck of cards? 

• 2

• 5

• 13

• 52

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

In a Permutation the order of the outcomes ​ ​ (a)   , but in a Combination the order​ (b)  

• matters

• doesn't matter

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

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

How many ways can 8 cheerleaders be chosen for 3 positions on the cheer team?

• 24

• 56

• 128

• 336

How many ways can 9 runners medal (Gold, Silver or Bronze) in a race?

• 27

• 84

• 216

• 504