Question

How many ways are there to choose 6 coins from a piggy bank containing 100 identical pennies and 80 identical nickels

Answer 1

7 possible ways

Explanation:

To get the ways, we look at all the possible events:

The pennies and nickels are identical so they cannot be differentiated.

f(x) = (x,y)

where x is the number of pennies and y is the number of nickels.

These are the possible combinations:

(0,6)

(1,5)

(2,4)

(3,3)

(4,2)

(5,1)

(6,0)

Therefore 7 combinations are possible