## Compute the number of distinct ways in which 56 toffees can be distributed to 5 persons A,B,C,D and E so that no person receives less than 10 toffees(toffee can not be devided)?

## Options : A) 210 B) 240 C) 180 D) 230

## Answer is : A

## Solution :

**Given :-**

1. 56 toffees are there

2. 5 members are there

3. no person receives less than 10 toffees

**What To Find:-**

**No. of distinct ways to distribute.**

**Procedure :-**

1. No person recieves less than 10 toffees.

So distribute 10 toffees to five members.

2. Remaining toffees are 6.

3. These 6 toffees we have got to share for 5 persons.

Formula :- If we share n elements to r members4. If we share 6 elements to 5 members.

then number of distinct distributions are : (n+r-1)C(r-1).

number of distinct distributions are

(6+5-1)C(5-1) = 10C4 = 210

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