How many ways are there to distribute 5 identical apples and 6 identical pears to 3 distinct people such that each person has at

Question

3 years ago

11

least one pear?

1 answer:

Nady [450] · Answer 1 · 2022-03-07T16:18:04+03:00

Answer:

961

Step-by-step explanation:

5 apples and 6 pears are to be distributed among 3 different people.

the number of ways the fruits could be distributed without restrictions is 3^ 11 = 177147

If each person gets at least one pear,first calculate the number of ways 6 pears could be distributed among 3 people

= 3^6 - 3

= 729 -3 = 726

Secondly calculate the number of ways 5 apples could be distributed among 3 people

3^5 = 243

Total = 726 + 243

= 961 ways