1

I need a help in Combination

Question:

In how many ways can $21$ identical Physics books and $19$ identical Chemistry Books to be arranged in row on a shelf, so that two chemistry books may not be together?

Math Boy
  • 155

1 Answers1

1

First place all the $21$ Physics books in a row.

Then there are $22$ places to place the chemistry books, but we have to place only $19$ books.

So, the no. of way is $${22\choose 19}={22\choose 3}$$