9.2 Permutations, & Combinations

Front

How many ways can a club select a president, vice president, and a secretary from a group of 5 people?

Back

60

Front

The ____________ of a positive integer n is the product of the positive integers less than or equal to n, and is written as n!

Back

factorial

Front

A ____________ is an arrangement of objects in which the order IS NOT important.

Back

combination

Front

Rylan’s basketball team has 11 players. How many ways can his coach choose five starting players?

Back

462

Front

A book club offers a choice of 8 books from a list of 40. In how many ways can a member make a collection?

Back

Combination

Front

What is the formula for calculating permutations of n objects taken r at a time?

Back

n! / (n - r)! (where n is the total number of objects and r is the number of objects to choose)

Front

What is the formula for calculating combinations of n objects taken r at a time?

Back

n! / (r! * (n - r)!) (where n is the total number of objects and r is the number of objects to choose)

Front

If a student can choose 3 out of 10 different subjects to study, how many combinations are possible?

Back

120 (using the combination formula 10! / (3! * (10 - 3)!))

Front

In how many different ways can the letters of the word 'MATH' be arranged?

Back

24 (4! = 24)

Front

What is the difference between permutations and combinations?

Back

Permutations consider the order of selection, while combinations do not.