A boy has a collection of 20 pennies8 nickels 10 dimes and 1

A boy has a collection of 20 pennies,8 nickels, 10 dimes, and 15 quarters.How many coins must the boy take from his collection to be certain that he has

a> 12 coins of the same kind?

b> 10 pennies, 5 nickels,6 dimes or 8 quarters?

c>15 pennies, 10 nickels,12 dimes or 8 quarters?

Solution

A) IT IS NOT POSSIBLE AS THE NICKLES AND DIMES ARE 8 AND 10 IN NUMBER RESPECTIVELY SO HE CANNOT BE CERTAIN THAT HE HAS 12 OF EACH KIND

B)BOY HAVE TO TAKE OUT 10 FROM PENNIES , 3 FRON NICKLES, 4 FROM DIMES AND 7 FROM QUARTERS IN TOTAL 24 COINS

C)AGAIN NOT POSSIBLE BECAUSE THE NUMBER OF DIMES AND NICKLES CAN NOT BE INCREASED FROM THE CURRENT NUMBER OF 8 AND 10