Combinations and Permutations Flashcard

Front

How many permutations are there for choosing 3 numbers from 10 with repetition allowed?

Back

1,000

Front

How many ways can first and second place be awarded to 10 people?

Back

90

Front

What is the value of 4! (4 factorial)?

Back

24

Front

What is the formula for combinations with repetition?

Back

(r + n - 1)! / (r! (n - 1)!)

Front

What is the formula for permutations without repetition?

Back

n! / (n - r)!.

Front

Define permutations.

Back

Arrangements of objects where the order matters.

Front

Define combinations.

Back

Selections of objects where the order does not matter.

Front

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

Back

n! / (n - r)!.

Front

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

Back

n! / (r! (n - r)!)

Front

If you have 5 different books, how many ways can you arrange them on a shelf?

Back

120 (5!)