Question

In how many ways 10 different books can be arranged in an almirah taking for any time such that a particular book is always taken

Answer 1

The number of ways of arranging the 10 books in the almirah would be 10! ways or 3622800 ways.

Assuming the almirah has 10 spaces for all the books

we can choose any one of the book out of 10 for the first place.

Then we can choose any of the remaining 9 for the second place

Then any of remaining 8 for the third place.

And so on.

So, we can have total possibilities of 10*9*8*7*6*5*4*3*2*1 = 10! ways