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15 Cards in this Set

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  • Back
A restaurant offers 8 appetizers and 10 main courses. In how many ways can a person order a two-course meal?
8 X 10 = 80
An ice cream store sells two drinks (sodas or milk shakes), in four sizes (small, medium, large, or jumbo), and five flavors (vanillas, strawberry, chocolate, coffee, or pistachio). In how many ways can a customer order a drink?
2 X 4 X 5 = 40
License plates in a particular state display two letters followed by three numbers, such as AT-887 or BB-013. How many different license plates can be manufactured for this state?
26 letters, 10 numbers (0-9)

26x26x10x10x10= 676,000
9! = 9x8x7x6x5! = 3,024
(9-4)! 5!
10! =10x9x8x7! = 720
(10-3)! 7!
How many distinct permutations can be formed using letters of the word
n=11, t=1, a=3, l=2, h=1, s=2, e=2


= 831,000
A medical researcher needs 6 people to test the effectiveness of an experimental drug. If 13 people have volunteered for the test, how many way can 6 people be selected?
(combination or permutation?)
How many different four-letter passwords can be formed from the letters A,B,C,D,E,F and G if no repitition of letters is allowed?
(combination or permutation?)
n! = 30!
(n-r)!r! (30-3)!3!

30x29x28x27! = 4,060
27!x 3x2x1
You volunteer to help drive children at a charity event to the zoo, but you can fit only 8 of the 17 children present in your van. How many different groups of 8 children can you drive?
17C8 = 24,310
A die is rolled, find the probability of getting: a number less than 3
2/6 = 1/3
You are dealt one card from a standard 52-card deck. Find the probability of being dealt: a club
13/52 = 1/4
A fair coin is tossed two times in succession. The set of equally likely outcomes is {HH, HT, TH, TT}. Find the probability of getting: the same outcome on each toss
2/4 = 1/2
A single die is rolled twice. There are 36 equally likely outcomes. Find the probability of getting: two numbers whose sum is 5
4/36 = 1/9
Spinner has 3 red regions, 3 brown regions, 2 blue regions, and 2 yellow regions. Find the probability that the spinner lands on: a blue region
2/10 = 1/5