Permutations and Combinations Probability

You flip a coin three times. What is the probability of three consecutive heads?

• ½

• ⅓

• ⅙

• ⅛

You have 15 milk chocolate Valentines and 10 dark chocolate Valentines.  What is the probability that the first Valentine handed out is milk chocolate and the second is dark chocolate.

• ¼

• ½

• ⅖

• ⅜

Let’s say we have 8 people:
1: Alice
2: Bob
3: Charlie
4: David
5: Eve
6: Frank
7: George
8: Horatio

How many ways can we award a 1st, 2nd and 3rd place prize among 8 contestants? (Gold / Silver / Bronze)

• 56

• 336

• 3/8

• 1/512

Picking a team of 3 people from a group of 10.

• Combination

• Permutation

Picking a President, VP and Waterboy from a group of 10

• Combination

• Permutation

Picking a President, VP and Waterboy from a group of 10.

• 120

• 720

• 1000

• 2000

Choosing 3 desserts from a menu of 10.

• Combination

• Permutation

Listing your 3 favorite desserts, in order, from a menu of 10.

• Combination

• Permutation

A team of 5 people to be selected out of 4 women and 7 men. In how many different ways this can be done if there is no restriction?

• 462

• 5/11

• 11/5

• 55440

A team of 5 people to be selected out of 4 women and 7 men. In how many different ways this can be done if the team must have 2 women?

• 6

• 35

• 210

• 331