Counting
Venn/PIE
Lists
Probability
200

There are 11 runners in a race. In how many ways can the gold, silver, and bronze medals be awarded?

990

200

How many numbers between 1 and 120 (including both) are divisible by 2 or 3?

80

200

How many numbers are in the list:

-4, -3, -2,..., 15

20

200

p1

a1

600

In how many ways can 6 students line up if Summer must stand in front of Robin (not necessarily right next to each other)?

360

600

We call a 3-digit PIN $weak$ if any of its digits are the same. How many $weak$ 3-digit PINs can be made?

280

600

How many numbers are in the list: 

0, 1, 4, 9, 16, ..., 10000

101

1000

How many different ways can you arrange the letters in $AABCDE$ so that the letter B is always between two A’s? (Example: $ACBDEA$)

120

1000

At a UN meeting with 80 delegates, each delegate speaks at least one of the following three languages: Arabic, English, and French.

        - 35 delegates speak Arabic,

        - 45 speak English,

        - 25 speak French,

        - 4 speak all three languages.

    How many delegates speak exactly two of the three languages?

17

1000

How many numbers are in the list: 

1/2,  5/8,  3/4,  7/8, ...,  5

37

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