Question

How many different combinations of pennies, nickels, dimes, quarters, and half dollars can a piggy bank contain if it has 23 coins in it

Answer 1

C ( 27, 4 ) number of ways

Explanation:

number of coins in piggy bank = 23

x1 = number of pennies

x2 = number of nickels

x3 = number of dimes

x4 = number of quarters

x5 = number of half dollars

The required condition = 23

The required different combinations can be represented as

= C ( 5 + 23 - 1 , 23 ) = C ( 27 , 23 )

= C ( 27, 4 )

This is because :( C ( n, r ) = C (n, n-r ))