11.2 Permutations

factorial

5!, called 5 ____________, is the product of all positive integers from 5 down through 1. By definition, 0!=1

identical

The number of permutations of n items, where p items are __________ and q items are identical, is given by n!/p!q!.

permutations

The number of possible ___________ if r objects are taken from n items is nPr=n!/(n-r)!.

true

True or False: 8!=8×7×6×5×4×3×2×1

false

True or False: A permutation occurs when the order of arrangement does no matter.

true

True or False: Because all the permutation problems are also Fundamental Counting problems, they can be solved using the formula for nPr or using the Fundamental Counting Principle.

false

True or False: Because the word BET and BEE both contain three letters the number of permutations of the letters in each word is 3!, or 6.