M L Aggarwal Solutions for Chapter: Permutations and Combinations, Exercise 7: EXERCISE 8.7

In how many ways can $20$ articles be packed in three parcels so that the first parcel contains $5,$ the second $7$ and the third $8$?

In how many ways can $10$ different marbles be divided between two children so that one of them may get $7$ marbles and the other $3$?

In how many ways can $24$ different things be divided into $4$ heaps so that each heap may contain $6$ things?

In how many ways can $20$ students be divided into $4$ equal groups? In how many ways can these students be sent to different schools?

In how many ways can a pack of $52$ cards be divided equally among $4$ players?

Find the number of ways in which $12$ books can be placed on $3$ shelves, $4$ books on each shelf.

What is the number of ways of distributing eight $₹5$ coins among $3$ beggars?

What is the number of ways of distributing five $₹1$ coins among $5$ persons?