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

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