You have a full set (26) of alphabet blocks and you have 50 empty boxes to...
You have a full set (26) of alphabet blocks and you have 50 empty boxes to place them in. (You must place each block into a box.)
a. If you think of each box as being different from every other box, how many different ways are there to put the blocks into the boxes if each box is only large enough to accept a single block?
b. If you think of each box as being different from every other box, how many different ways are there to put the blocks into the boxes if each box is large enough to hold all 26 blocks?
c. If you think of each box as being different from every other box, how many different ways are there to put 2 blocks into each of 13 boxes? (i.e. 37 boxes will be empty)
d. Now, suppose that your boxes are identical and cannot be distinguished from each other. Repeat part c.
Homework Answers
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You have a full set (26) of alphabet blocks and you have 50
empty boxes to...
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1. (5) Suppose we have a set of small wooden blocks showing the 26 letters of the English alphabet, one letter per block. (Think of Scrabble tiles.) Our set includes 10 copies of each letter. We place them into a bag and draw out one block at a time. (a) If we line up the letters on a rack as we draw them, how different ways coukl we fill a rack of 5 letters? (b) Now suppose we just toss...
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very clear can somone care to explain the steps involved in this
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