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Combinatorics: Prerequisite Check

We teach hard concepts with the easiest words we can. Let's make sure you know the words and ideas we need. This course is just right if you get at least 80% on this test, but less than 70% of the place-out test. This test should be very easy for you, since it is only making sure you have the basics to understand.

Time Left:

10:00

1.

If a=2bca = 2^b c and b=3b = 3 and c=5,c = 5, what is A?A?

1313

3030

4040

4545

256256

2.

Calculate:

6×5×43×2×1\frac{6 \times 5 \times 4}{3 \times 2 \times 1}

52\displaystyle \frac{5}{2}

1515

2020

8080

720720

3.

All but one of these rings of 6 beads can be obtained from the others by rotating or flipping over the ring. Which is the unusual one?

4.

When buying a certain model of phone, there are 33 colors to choose from, and 33 different amounts of storage to choose from. How many different combinations are there for that phone model?

66

99

2727

6464

720720

5.

Jenny has 33 skirts, 22 pants, and 44 shirts. How many ways can she create an outfit with one of the shirts, and either a skirt or pant?

88

99

1212

2020

2424

6.

Everybody in a certain middle school takes French, Spanish, or both. The French teacher has a total of 9090 students, and the Spanish teacher has a total of 110110 students. There are 2020 students in both languages. How many students are at the school?

180180

190190

200200

210210

220220