Combinations and Probability

A coed soccer team is made up of 12 boys and 8 girls. How many groups of 11 players can be sent to the field if 6 boys and 5 girls are selected?

• 167,960

• 96

• 4,470,681,600

• 51,744

An identification code is to consist of 3 uppercase letters followed by 4 digits. How many different codes are possible if repetition is not permitted?

• 78,624,000

• 175,760,000

• 10,000

• 12

Five different colored flags will be placed on a pole, one beneath another. The arrangement of the colors indicates the message. How many messages are possible if five flags are to be selected from nine different colored flags?

• 45

• 15,120

• 126

• 59,049

An ice-cream parlor has 20 different flavors. Cynthia orders a banana split and has to select 3 different flavors. How many different selections are possible?

• 60

• 6,840

• 23

• 1140

Rebecca is sent to the store to get 5 different bottles of regular soda and 3 different bottles of diet soda. If there are 10 different types of regular sodas and 7 different types of diet sodas to choose from, how many different choices does Rebecca have?

• 8,820

• 35

• 151,200

• 287

There are 45 applicants for three Computer Programmer job positions.

• combination

• permutation

• neither

Of 24 employees at Lowe's home improvement store, 10 work as cashiers and 14 stock shelves. If 3 of the 24 employees are selected at random to work overtime, determine the probability that 2 are cashiers and 1 stocks shelves.

• 1/4

• 1/8

• 1/24

Permutation, combination, or neither?
A team of 8 basketball players need to choose a co-captain and captain.

• combination

• permutation

• neither

A bag has 3 red marbles, 2 blue and 4 green and 1 yellow. What is the theoretical probability of pulling a red?

• 3/10

• 3/9

• 1/10

• 1/9

The following M & M colors are in the bowl:
4 yellow, 6 orange, 3 green, 5 blue, 2 brown.
What is the probability of selecting a brown candy?

• 2/18

• 1/9

• 2/20

• 1/10