A sales assistant is hanging 11 sweaters on a rack. He has 5 pink sweaters, 4 white sweaters, and 2 black sweaters. In how many distinct orders can the sweaters be arranged if two sweaters of the same color are considered identical (not distinct)?

Isabel is arranging 11 cans of food in a row on a shelf. She has 7 cans of carrots, 3 cans of beans, and 1 can of beets. In how many distinct orders can the cans be arranged if two cans of the same food are considered identical (not distinct)?

Hans is putting 11 colored light bulbs into a string of lights. There are 3 blue light bulbs, 4 red light bulbs, and 4 white light bulbs. How many distinct orders of light bulbs are there if two light bulbs of the same color are considered identical (not distinct)?

Heather is putting 12 colored light bulbs into a string of lights. There are 6 pink light bulbs, 2 yellow light bulbs, and 4 red light bulbs. How many distinct orders of light bulbs are there if two light bulbs of the same color are considered identical (not distinct)?

A men's clothing store ordered some winter sweaters to sell. They ordered 244 red sweaters, 9 green sweaters, and 10 blue sweaters. How many winter sweaters did the store order in all

Find the number of distinct arrangements of the 11 letters in WOODWORKERS.Two of the same letter are considered identical (not distinct).