Permutations and Combinations to Determine Probabilities of Compound Events

How many ways can a club select a president, vice president, and a secretary from a group of 5 people?

• 12

• 60

• 15

• 125

What does ₁₀P₅ mean?

• Permutations with 5 choices and 10 positions

• Permutations with 10 choices and 5 positions

• Permutations with 5 numbers and 10 operations

• Permutations with 5 hot dogs and 10 drinks

Choosing 3 toppings for your sundae out of a list of 15.

• Permutation

• Combination

• Neither

Determine whether the following scenarios are a permutation or a combination:

Selecting a lead and an understudy for a school play.

• Combination

• Permutation

A box contains 5 purple marbles, 3 green marbles and 2 orange marbles. Draws are made without replacement. P(orange,green) (a)  

• 1/15

• 2/15

• 3/31

• 1/5

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

A combination lock has 7 digits.  How many distinct combinations does this lock have if the numbers used have to be 0 through 5?

• 279936

• 78125

• 823543

• 16807

How many ways can two jellybeans be chosen from a bag of 15 unique jellybeans.

• ₁₅C₂=105

• ₁₅P₂=210

• 15 x 2 = 30

• 100 ways

Permutation, combination, or neither?
Rob and Mary are planning trips to 9 countries this year.  There are 13 countries they would like to visit.  They are deciding which countries to skip.

• combination

• permutation

• neither

There are 45 applicants for three Computer Programmer job positions.

• combination

• permutation

• neither