Question

In how many ways can 20 distinct books be divided equally among 4 parcels? (1 Point)​

Answer 1

5 books each.........

Answer 2

Answer:

Step-by-step explanation:

20 different books need to be equally divided among 4 different girls

Therefore, each girl gets 5 books.

Now this is a case of Combinations where we have to find the number of ways in which 5 books to be selected from 20, 15, 10 & 5 books.

This is because the number of available books after every selection reduces by five.

Number of ways of selecting 5 books from 20 books = C(20,5)

Number of ways of selecting 5 books from remaining 15 books = C(15,5)

Number of ways of selecting 5 books from remaining 10 books = C(10,5)

Number of ways of selecting 5 books from remaining 5 books = C(5,5)

Since all these are to be performed, the number of ways of each action should be multiplied according to Fundamental Principles of Counting.

Total number of ways

= C(20,5) × C(15,5) × C(10,5) × C(5,5) = 20!/(5!)^4