Basic Probability and Permutations Combinations

The word "arrange" usually refers to

• Permutation

• Combination

• Probability

• Counting

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

• 5

• 3125

• 120

• 25

What is the formula for Permutations?

• n!

• ^n!∕_(n-r)!

• ^n!∕_{(n-r)! r!}

• ^r!∕_{(r-n)! n!}

A team of 8 basketball players needs to choose a captain and co-captain.

• 64

• 56

• 15

• 40,320

A lock has four dials. On each dial are the digits 0 to 9. How many possible combinations are there?

• 40

• 5040

• 6561

• 10,000

What is the formula for Variations?

• n!

• ^n!∕_(n-r)!

• ^n!∕_{(n-r)! r!}

• ^r!∕_{(r-n)! n!}

The word "selection" usually refers to

• Combination

• Permutation

• Probability

• Counting

Find the number of possibilities:
A group of 25 people are going to run a race.  The top 8 finishers advance to finals.

• 625

• 4.36 X 10¹⁰

• 1,081,575

Two number cubes are rolled, then a spinner with 4 different colors on it is spun twice, then two coins are flipped. How many total possible outcomes are there?

• 4096

• 24

• 46,656

• 2,304

Permutation, combination, or neither?
The batting order for seven players on a 12 person team.

• combination

• permutation

• neither