12.1-Number Principle
12.2-Permutations
12.3-Combinations
12.4-Probability (single events)
12.5&12.6 - Probability (multiple events)
100
If a girl has 5 skirts, 8 shirts, and 6 pairs of shoes, how many outfits can she wear?
What is 240 outfits?
100
Eight toppings for pizza are available. In how many ways can Jim choose 3 of the toppings?
What is 336?
100
C (12, 2)
What is 66?
100
Mary, Jenny, Bob, Marilyn, Bill, Jack, Jerry, Tina, Connie, & Joe have their names put into a hat. Find the probability that a 3-letter name will be drawn.
What is 2/10, 1/5, or 20%?
100
Bag A contains 9 red marbles and 3 green marbles. Bag B contains 9 black marbles and 6 orange marbles. Find the probability of selecting one green marble from bag A and one black marble from bag B.
What is 3/20 or 15%? (3/12 * 9/15... 1/4 * 3/5)
200
Three people run for class president, 4 for vice-president, and 2 for secretary. How many ways can the 3 officers be selected?
What is 24 ways?
200
Sally has 7 candles, each a different color. How many ways can she arrange from left to right the candles in a candelabra that holds three candles?
What is 210 ways?
200
C(7, 2)
What is 21?
200
Mary, Jenny, Bob, Marilyn, Bill, Jack, Jerry, Tina, Connie, & Joe have their names put into a hat. Find the probability that a name starting with an "S" will be drawn.
What is 0 or 0%?
200
Two seniors, one from each government class are randomly selected to travel to Washington, D.C. Wes is in a class of 18 students and Maureen is in a class of 20 students. Find the probability that both Wes and Maureen will be selected.
What is 1/360 or .03%? (1/18 * 1/20)
300
For a school lunch you can get a hamburger, hot dog, or chicken sandwich. To drink you can get a soft drink or a milkshake. Give the total number of the different lunch possibilities consisting of 1 sandwich and 1 drink.
What is 6 possible lunches?
300
How many ways can eight different cans of soup be displayed in a row on a shelf?
What is 40,320 ways?
300
How many ways can you select a volleyball team (6 players) from a group of 8 people?
What is 20,160 ways?
300
Mary, Jenny, Bob, Marilyn, Bill, Jack, Jerry, Tina, Connie, & Joe have their names put into a hat. Find the probability that a name ending with "y" will be drawn.
What is 3/10 or 30%?
300
A box contains 5 purple marbles, 3, green marbles, and 2 orange marbles. Two consecutive draws are made from the box without replacement of the first draw. Find P(orange first, green second).
What is 1/15 or 7%? (2/10 * 3/9 ... 1/5 * 1/3)
400
A car dealer sells 4 makes of cars in 5 colors with either standard or automatic transmissions. How many variations does the dealership offer?
What is 40 variations?
400
A briefcase lock has 3 rotating cylinders, each containing 10 digits. How many numerical codes are possible?
What is 1000 codes?
400
A basketball team has 11 players on its roster. Only 5 players can be on the court at one time. How many different groups of 5 players can the team put on the floor?
What is 462 different groups?
400
One card is drawn from a well-shuffled deck of 52 cards. What is the probability of drawing P(ace)?
What is 4/52 or 1/13 or about 8%?
400
A box contains 5 purple marbles, 3, green marbles, and 2 orange marbles. Two consecutive draws are made from the box without replacement of the first draw. Find P(both marbles are purple).
What is 4/18 or 2/9 or 22%? (5/10 * 4/9 ... 1/2 * 4/9)
500
A golf club manufacturer makes irons with 7 different shaft lengths, 3 different grips, and 2 different club head materials. How many different combinations are offered?
What is 42 combinations?
500
In how many ways can the 4 call letters of a radio station be arranged if the first letter must be W or K and no letters repeat?
What is 27,600 ways?
500
In a conference of 9 schools, how many intraconference football games are played during the season if the teams all play each other exactly once?
What is 36 games?
500
One card is drawn from a well-shuffled deck of 52 cards. This is the probability of NOT drawing a diamond.
What is 39/52 or 75%?
500
A card is drawn from a well-shuffled deck of 52 cards; what is the probability that the card drawn will be a face card OR a card with a prime number?
What is 19/52 or 37%? (16/52 + 3/52)