A shelf contains 25 different books, 7 are in single volume and other are in set of 9, 6, 3 volumes respectively. Total number of ways in which books may be arranged on the shelf if volumes of each set are together and in increasing or decreasing order.
Answers
Given : A shelf contains 25 different books, 7 are in single volume and other are in set of 9, 6, 3 volumes respectively.
To Find : Total number of ways in which books may be arranged on the shelf if volumes of each set are together and in increasing or decreasing order.
Solution:
there are 7 in single volume and other are in set of 9, 6, 3 volumes
Hence 7 + 3 volumes = 10
10 can be arranged in 10! Ways
Each volume can be arranged in 2 ways increasing or decreasing order.
hence 2 * 2 * 2 = 8 ways
Total Ways of in which books may be arranged on the shelf = 8 * 10!
=2,90,30,400
8 * 10!
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