Act Counting

June owns a small deli. They offer lunch combos every day in which a customer can get a sandwich, chips, and a drink for $5. Their deli offers 8 types of sandwiches, 4 types of chips, and 5 types of drinks. How many distinct lunch combos can be made at June's deli?

• 17

• 32

• 60

• 160

• 800

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 goggles are possible for Nemo to wear?

• 30

• 25

• 20

• 15

• 10

Surfer Joe has 7 beach towels of different colors that he uses for the 7 days of the week. He hands 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

• 5040

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 68cents?

• 6

• 7

• 8

• 9

• 10

Westpond High School took its senior class of 50 students on a whitewater rafting field trip. The school rented 10 rafts. Each of the rafts contained at least 1 person but no more than 6 people. At most, how many rafts contained exactly 3 people?

• 3

• 4

• 5

• 6

• 7

Five classmates are making up a game on the playground. The players stand evenly spaced around a circle. The player with the ball (the thrower) bounces it to another player (the catcher). The catcher cannot be the player to the thrower's immediate left or right and cannot be the player who last bounced the ball. A player bounces the ball as the first thrower. Which number pass will that player's first catch?

• 5th

• 6th

• 7th

• 8th

• 9th

Tags

CCSS.3.OA.D.9

A roller coaster has 10 carts that will seat up to 3 people each. If 24 people are seated in the carts and NO carts are empty, what is the greatest possible number of carts that could be filled with 3 people?

• 4

• 5

• 6

• 7

• 8

Tags

CCSS.3.OA.A.3

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

• 56250

What is the maximum number of distinct diagonals that can be drawn in the pentagon shown below?

• 5

• 6

• 7

• 8

• 9

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• 1

• 2

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• 4