Use repetitions to solve it. Don't simplify answer (1) 20 different comic books will be distributed...

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Use repetitions to solve it. Don't simplify answer

(1) 20 different comic books will be distributed to five kids.How many ways are there to distribute the comic books if they aredivided evenly so that 4 go to each kid?

(2) A family has four daughters. Their home has three bedroomsfor the girls. Two of the bedrooms are only big enough for onegirl. The other bedroom will have two girls. How many ways arethere to assign the girls to bedrooms?

(3) A camp offers 4 different activities for an elective:archery, hiking, crafts and swimming. The capacity in each activityis limited so that at most 35 kids can do archery, 20 can dohiking, 25 can do crafts and 20 can do swimming. There are 100 kidsin the camp. How many ways are there to assign the kids to theactivities?

(4) A school cook plans her calendar for the month of Februaryin which there are 20 school days. She plans exactly one meal perschool day. Unfortunately, she only knows how to cook ten differentmeals. How many ways are there for her to plan her schedule ofmenus for the 20 school days if there are no restrictions on thenumber of times she cooks a particular type of meal?

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