Answer:
840
Step-by-step 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
[tex]Total=7\times 6\times 5\times 4=840[/tex]
Therefore total possible ways to distribute 4 teddy bears are 840.
