Combinations and Permutations Probability

What is the formula for Permutations?

• n!

• ^n!∕_(n-r)!

• ^n!∕_(n-r)! r!

• ^r!∕_{(r-n)! n!}

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

• Comparision

• Permutation

• Combination

• Position

If all items chosen are treated differently it is a ...  

• Comparision

• Permutation

• Combination

• Position

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

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

• matters

• doesn't matter

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

Calculate ₈P₂

Mathematical Equivalence

OFF

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

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

• 2

• 5

• 13

• 52