1.
How many ways can a 5-question true/false quiz be answered?
2.
How many ways can a president, vice president, and secretary be chosen from a group of 6 students?
3.
How many ways can a 4-person committee be selected from a group of 10 people?
4.
How many ways can 3 red, 2 blue, and 1 green book be arranged on a shelf?
5.
How many numbers between 1 and 100 are divisible by 3 or 5?
6.
How many trailing zeros are in 100!?
7.
How many diagonals does a regular hexagon have?
8.
How many triangles can be formed from 8 non-collinear points?
9.
In a class of 30 students, 15 play soccer, 12 play basketball, and 5 play both. How many students play at least one of the two sports?
10.
In a group of 13 people, what is the minimum number of people who share the same birth month?
11.
How many ways can 4 boys and 3 girls be seated in a row if the girls must sit together?
12.
In a school, 60% of students play soccer, 50% play basketball, and 20% play both. What percentage of students play neither sport? (Enter answer with % e.g. 50%)
13.
In a survey of 200 people, 120 like tea, 80 like coffee, and 50 like both. How many people like neither tea nor coffee?
14.
How many subsets of {1,2,3,...,10} contain exactly 4 elements?
15.
A locker combination consists of 3 numbers, each from 0-39. If numbers can repeat, how many different combinations exist?
