in how many ways 4 identical books of matha and 3 identical books of literature be arranged such that three literature books are not together ?
Answers
Given : 4 identical books of maths and 3 identical books of literature be arranged
To Find : ways such that three literature books are not together
Solution:
identical books of maths = 4
identical books of literature = 3
Total possible arrangement = 7! / 4!.3!
= 7 * 6 * 5 / 3 * 2
= 35
Assume all there literature books are together
Take it as 1 + 4 maths book = 5
Total possible arrangement = 5!/4! = 5
ways such that three literature books are not together = 35 - 5 = 30
In 30 ways 4 identical books of Maths and 3 identical books of literature be arranged such that three literature books are not together
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