Permutations Combinations Probability

Eight red balls and four blue balls are in a bag. If four balls from the bag are to be selected at random, determine the probability of selecting four red balls.

• 85/99

• 2/3

• 14/99

• 0

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

• combination

• permutation

• neither

Permutation, combination, or neither?
You have 4 framed portraits. How many ways can you arrange all 4 of them on the top of your bookshelf?

• combination

• permutation

• neither

Michael is going to order his wife a bouquet for their anniversary. If Michael can choose 5 different flowers from a list of 8, how many bouquets are possible?

• 56

• 6,720

• 40

• 40,320

There are 17 students in Schnaper's 2nd hour class. How many different seating charts are possible?

• 1

• 17

• 4,080

• 3.6 x 10¹⁴

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

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