3.1 Permutations with Non-Ordered Elements

Identical Terms• How many different words can you spell with the letters D O L E

Identical Terms• How many different words can you spell with the letters D O L L

Identical Terms• When there are identical terms, we divide by the (numbers of

identical terms)!

Where n is total number of things, and a, b, and c are number of identical objects a,b, and c.

Identical Terms• Richards is laying out tiles for the edge of a mosaic. How many

patterns can he make if he uses four yellow tiles and one each of blue, green, red, and grey?

Identical Terms• The word “bookkeeper” is unusual in that it has three consecutive

double letters. How many permutations are there of the letters in “bookkeeper”?

Identical Terms• The school is hanging a display of clothing imprinted with the school’s

crest on a line on a wall in the cafeteria. It has five sweatshirts, Three T-shirts, and four pairs of sweatpants. In how many ways can Batters arrange the display?