Solve Me!

Mix-and-Match

Misc.

Identify the Parts

Probability

How many ways can we order a four topping pizza if there are seven toppings to chose from?

35

There are 11 clowns in a circus, how many ways can you group the clowns if only three preform in a show? Would this be a combination problem or a permutation problem?

165; Combination

What is a way or arranging in an ordered fashion of objects or values where order matters?

permutation

Identify n and r in the following problem: There are 35 boys trying out for football in the fall. The coach only has 20 spots to fill on the roster. How many ways can he fill the remaining spots?

n=35 r=20

If a team has won 2 games, but lost 8, what is the chance they will win their next game? (state answer in percent form)

20%

Compute _{16}C_{10}

8008

There is a school raffle this week, the first prize is a coffee mug, the second prize is a car, and the third prize is a candy bar. How many ways can you hand out the prizes if 100 students entered the raffle? Would this be a combination problem or a permutaion problem?

970,200; Permutation

What is a way of arranging objects or values where order does not matter?

combination

Identify n and r in the following problem: The school board has seven members, the board must have a chairperson, an assistant chairperson, and a secretary. How many different sets of these officers can be formed from this board?

n=7 r=3

There are 12 girls and 9 boys in a class. The teacher needs a committee of 5. What is the probability the committee will be all girls? (round the answer to three decimal places)

0.039

Solve _{8}P_{2}

56

A) When does order matter? B) When does order not matter?

A) Permutations B) Combinations

How many different arrangements of the word

Quadratic are possible?

181,440

Identify n and r the following Ten band directors at a summer band camp are planning to give a performance. One of the pieces they want to play calls for a Flute, an oboe, a bassoon, and a clarinet. Each of the band directors can play all four instruments. How many different quartets can they have

n=10 r=4

The Bobcats have a record of 10-15. What is the probability they will lose their next game? (state the answer in simplest fraction form)

3/5

How many five card hands can be dealt from a standard deck of 52 cards?

2,598,960

There are 12 girls and 8 boys in a club. A committee of 5 is needed. How many committees are possible if you want only girls on the committee?

792

You have 7 shirts, 5 pair of pants, 3 sweaters and 2 hats. If you wear one item of each, how many outfits do you have?

210

Identify n and r in the following problem: How many ways can you deal a five card hand from a standard deck?

n=52 r=5

You rearrange the letters in the word ALGEBRA. You then select two words. What is the probability you will select the words "algebra" or "bagelar"?(state your answer as a fraction in lowest terms)

1/1260

There are 15 true/false questions on a quiz. In how many different ways can you fill in the answers if you answer all the questions?

32,768

To open your locker, you must dial a sequence of three numbers called the lock’s combination. Given that there are 40 numbers on a lock, how many different locker combinations are there?

64,000

A club has 8 girls and 10 boys. What is the probability that a committee of 4 will be all girls? (round the answer to three decimals places)

0.023

Identify n and r in the following problem: A club has 12 girls and 9 boys. The club needs to select a committee of 6 individuals. How many committees are possible?

n = 21, r = 6

A classroom has 14 girls and 16 boys. The teacher needs a committee of 6. What is the probability that the committee selected will have 3 girls and 3 boys on it? (round the answer to three decimal places)

0.343