Alice has 2 blue crayons, 4 pink crayons, 2 green crayons, and 5 red crayons. She...
Alice has 2 blue crayons, 4 pink crayons, 2 green crayons, and 5 red crayons. She wants to place all of the crayons in a line on the table. How many different ways can she arrange the crayons?
Homework Answers
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There are 2+4+2+5 = 13 crayons in total.
The 13 crayons can be placed on a line in 13! = 6227020800.
But there are duplicate crayons offcourse. So, lets adjust our answer for the removing the duplicate crayons.
So, the actual number of ways this can be 13!/(2!4!2!5!)
= 6227020800/11520
= 540540
Answer: 540,540
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