In how many ways can 10 books on English and 14 books on Maths be placed in a row on a shelf so that no two books on English are together?
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Answer:
15! × 14!
5!
Step-by-step explanation:
first arrang the 14 books of maths
*M*M*M*M*M*M*M*M*M*M*M*M*M*M*
Thus, 14 books of maths are arranged in
=14! (! is factorial)
as there are 15 places to place the books around the maths book
So, 10 nook of English are arranged in 15p10
= 15!
(15-10)!
= 15!
5!
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