Question

You have 4 identical gifts (teddy bears) and 7 nieces. In how many different ways could you give the 4 teddy bears to 4 of the 7 nieces, where no niece gets more tharn one teddy bear?

Answer 1

840

Explanation:

Total number of gifts (teddy bears)= 4

Total number of nieces = 7

We need to find the number of ways to give the 4 teddy bears to 4 of the 7 nieces, where no niece gets more than one teddy bear.

Number of possible ways to give first teddy = 7

It is given that no niece gets more than one teddy bear.

The remaining nieces are = 7 - 1 = 6

Number of possible ways to give second teddy = 6

Now, the remaining nieces are = 6 - 1 = 5

Similarly,

Number of possible ways to give third teddy = 5

Number of possible ways to give fourth teddy = 4

Total number of possible ways to distribute 4 teddy bears is

`Total=7* 6* 5* 4=840`

Therefore total possible ways to distribute 4 teddy bears are 840.