Question

In how many ways can 3 girls divide 10 pennies if each must end up with at least one penny?

Answer 1

Step-by-step explanation:

First girl: 1 penny

2nd girl: 1-8 pennies

3rd girl: 8-1 pennies

First girl: 2 pennies

2nd girl: 1-7 pennies

3rd girl: 7-1 pennies

First girl: 3 pennies

2nd girl: 1-6 pennies

3rd girl: 6-1 pennies

First girl: 4 pennies

2nd girl: 1-5 pennies

3rd girl: 5-1 pennies

First girl: 5 pennies

2nd girl: 1-4 pennies

3rd girl: 4-1 pennies

First girl: 6 pennies

2nd girl: 1-3 pennies

3rd girl: 3-1 pennies

First girl: 7 pennies

2nd girl: 1-2 pennies

3rd girl: 2-1 pennies

1st girl: 8 pennies

2nd girl: 1 penny

3rd girl: 1 penny

Total number of ways of dividing 10 pennies among 3 girls

= 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1

= 36

Answer 2

Answer:

When the retreating monsoon blows from the northeast across the Bay of Bengal, it picks up a significant amount of moisture, which is subsequently released after moving back onto the peninsula. ... That rainy extension of the generally dry retreating monsoon is called the northeast, or winter, monsoon.