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# Tip #33 to Get a Top ACT Math Score (page 3)

By Brian Leaf
McGraw-Hill Professional

### Medium

1. Kyle will write 3 of the symbols shown below on a banner. How many such arrangements are possible?
1. 3             ♣ ♥ Φ ψ
2. 5
3. 15
1. 30
2. 60
2. Of the six members of the girls tennis club, two will compete as the doubles team. How many different such teams of two girls are possible?
1. 6
2. 12
3. 15
4. 30
5. 60

1. E Draw a blank for each option. Then write in the number of possibilities that can fill each option. There are 2 slogan options and 3 size options, so 2 × 3 = 6. Notice that this question is simple enough to do without the strategy; you could just picture shirts in piles, like at Old Navy, with two different slogans available in S, M, and L, making 6 piles.
2. J Draw a blank for each role that needs to be filled by an actor. Then write in the number of actors who can fill the role. Remember that each actor can play only one role, so once someone is assigned, that person can't be used again. Then multiply.
3. 5 × 4 × 3 × 2 × 1 = 120.

4. D Draw a blank for each spot at the burrito bar. Then write in the number of possibilities that can fill each slot. There are 3 options for meat, 3 options for vegetables, and 4 options for salsas, so 3 × 3 × 4 = 36.
5. K Draw a blank for each spot on the banner. Fill in the number of possible symbols that can go in each spot. Notice that the three symbols must be different, since the question states that Kyle will use three of the symbols. Therefore, they cannot be reused, and we have 5 × 4 × 3 = 60.
6. C Draw a blank for each member of the doubles team. Write in the number of possible girls who can fill each slot; remember that once someone is assigned a position, she cannot also play another position. Then multiply. This question has one extra step, since this is a team of two, and it does not matter if it's Jenny and Jill or Jill and Jenny. So we divide our answer by 2 since we will have double-counted each duo. 6 × 5 = 30 ÷ 2 = 15.

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