ACT Quiz 16 - LL - Counting

• 15

• 14

• 12

• 9

• 6

At a school prom, 1 boy and 1 girl will be chosen as prom king and queen. If there are 225 boys and 250 girls attending the prom, how many different boy-girl combinations for prom king and queen are possible?

• 25

• 225

• 250

• 475

• 56,250

Nemo has 5 swimsuits, 2 pairs of flippers, and 3 pairs of goggles, which can be worn in any combination. He needs to choose a combination of swimwear to wear to a family pool party. How many different combinations consisting of 1 swimsuit, 1 pair of flippers, and 1 pair of googles are possible for Nemo to wear to the pool party?

• 30

• 25

• 20

• 15

• 10

• 5

• 7

• 9

• 10

• 25

Alex and 4 friends are playing baseball on the same team. Each time they play a game, they switch the batting order to a sequence that has not yet been used. What is the maximum number of games they can play before they have to repeat a batting order they have already used?

• 240

• 120

• 24

• 15

• 5

Edwin is setting up cones for the boundaries of an ultimate Frisbee field. The field will be 50 yards long and 20 yards wide. Edwin places a cone on every corner, every 10 yards on the long sides of the field, and every 5 yards on the short sides of the field. How many cones does Edwin need to use for the field?

• 14

• 16

• 18

• 20

• 22

Surfer Joe has 7 beach towels of different colors that he uses for the 7 days of the week. He hangs them on a laundry line when he is not using them. In how many different orders can the 7 towels be hung from the laundry line?

• 7

• 24

• 120

• 720

• 5,040

Bruce works at a local general store. If Bruce uses only pennies, nickels, dimes, and quarters when making change, what is the least number of coins needed to make change totaling 68 cents?

• 6

• 7

• 8

• 9

• 10

• 1,152

• 576

• 278

• 20

• 14