Combinations, Permutations, and Factorials

Front

What does 10P5 mean?

Back

Permutations with 10 choices and 5 positions.

Front

How many different sets of five DVDs can you take from 20 DVDs?

Back

Combination.

Front

How many ways can you order a car available in 9 colors, 3 styles, and 2 sizes?

Back

Counting Principles.

Front

Ambry must submit 4 paintings from 25. How many ways can she pick 4?

Back

12,650.

Front

What is the difference between permutation and combination?

Back

Permutation considers order; combination does not.

Front

Define factorial (n!).

Back

The product of all positive integers up to n.

Front

Calculate 5! (5 factorial).

Back

120.

Front

What is the formula for combinations?

Back

C(n, r) = n! / (r!(n-r)!)

Front

What is the formula for permutations?

Back

P(n, r) = n! / (n-r)!.

Front

If you have 10 books and want to arrange 3 on a shelf, how many arrangements are possible?

Back

720 (10P3).