Probability Revision

We want to arrange 5 boys and 5 girls together such that the same gender are together. The number of ways are

• 2!*5!*5!

• 2!

• 10!

• 10!-(5!*5!)

Members of 6 different school organizations decorated floats for the homecoming parade.  How many different ways can first, second, and third prize be awarded?

• 720

• 20

• 120

• 36

How many ways can you choose a manager and assistant from a 9-person task force?

• 72

• 81

• 36

How many 2-digit numbers can you make using the digits 1, 2, 3, & 4 without repeating the digits?

• 6

• 16

• 12

• 24

Find the number of possibilities:

A team of 17 softball players needs to choose three players to refill the water cooler.

• 272

• 4080

• 680

• 4913

Find the number of words, with or without meaning, that can be formed with the letters of the word ‘CHAIR’.

• 5

• 3125

• 120

• 25

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

A disc jockey has to choose three songs for the last few minutes of his evening show.  If there are nine songs that he feels are appropriate for that time slot, then how many ways can he choose and arrange to play three of those nine songs?

• 84

• 504

• 9!

• 3!

Eva has eight glasses of water.  In how many different orders can the glasses of water be arranged?

• 8

• 64

• 8!

• 56

What is the probability of landing on the blue or red parts of the spinner? 

• 3/8

• 7/8

• 3/8

• 1/2