7GEM Permutations and Combinations

Question 1

Kathy can choose 2 kittens from a litter of 5. How many possibilities are there?

Accepted Answer

10

Question 2

20 People are in a spelling bee. How many ways can 1st and 2nd places be awarded?

Accepted Answer

380

Question 3

How many different ways can 7 people finish in a race?

Accepted Answer

5040

Question 4

-

Accepted Answer

64

Question 5

Kentucky license plates are 4 digits. No number can be used twice. How many possible plates?

Accepted Answer

5040

Question 6

From 9 names on a ballot, 4 will be elected to attend a convention. How many committees?

Accepted Answer

126

Question 7

How many ways can a king, queen, jester be selected from a group of 20 people?

Accepted Answer

6840

Question 8

A salad bar has 8 different items. How many ways can you pick 5 items?

Accepted Answer

56

Question 9

How many arrangements can be made from letters in the word NUMBER?

Accepted Answer

720

Question 10

How many possible 4-digit (0-9) security codes are there on an alarm system?

Accepted Answer

10000

Question 11

There are 15 people in a PE class and 4 are selected to be on a team. How many possible teams?

Accepted Answer

3003

Question 12

Order matters in which of the following arrangements of items?

Accepted Answer

Permutations

Questions 12