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# If you have 6 books, but there is room for only 4 books on the shelf, in how many ways can you arrange these books on the shelf....?

If you have 6 books, but there is room for only 4 books on the shelf, in how many ways can you arrange these books on the shelf if the order of the books on the shelf is important?

a. 15 b. 360 c. 24 d. 10

### 2 Answers

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- Pramod KumarLv 71 month ago
Suppose you have books : A, B, C, D, E and F

First place has 6 choices to be filled

Second place can be filled by the remaining books in = 5 ways

Third place can be filled by the remaining books in = 4 ways

And Fourth place can be filled by the remaining books in = 3 ways

Since no of ways are inter dependent , total number of ways = 6*5*4*3 = 360

Hence Answer = 360. ...................... (option b is correct)

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