Math, asked by rushikeshtummod, 8 months ago

The number of ways in which 12 different books can be arranged in the book shelves so that 4 books are together.

Answers

Answered by pritamdj079halder
0

Answer:

Total number of Ways  = 9! * 4!  if 4 particular books must always be together. &  10! * 2 ways if 2 particular books must occupy the first position and the last position.

Step-by-step explanation:

Total Books = 12

(a) 4 particular books must always be together.

Take 4 books as 1   & remaining books = 8

Total Books = 9

9 books can be arranged in 9 !  ways

4 books as 1 can be arranged in 4!  ways

Total number of Ways  = 9! * 4!

(b) 2 particular books must occupy the first position and the last position.

2 Books can be arranged in 2! = 2  ways

Remaining 10 books can be arranged in 10!  Ways

Total number of Ways  = 10! * 2

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