Permutations
8P2
What is 56?
11C4
What is 330?
P(A) = 1/5
P(B) = 1/5
P(A and B) = 1/25
Independent or Dependent
What is Independent?
NO CALCULATOR
3!
What is 6?
How many different numbers can be made using any four digits of 148,923?
1. Permutation or Combination
2. Calculate it!
1. What is a permutation?
2. What is 6P4 = 360?
Calculate the number of possible table arrangements for 4 guests seated around a circular table.
What is 6?
The number of combinations of 3-letter strings out of the letters LMNOP.
What is 5C3 = 10?
P(A) = 1/6
P(B) = 2/3
P(A and B) = 1/9
Independent or Dependent
What is Independent?
NO CALCULATOR
5!
What is 120?
How many different 3-person committees can be made if members are chosen from 8 employees?
1. Permutation or Combination
2. Calculate it!
1. What is a combination?
2. What is 8C3 = 56?
The number of permutations made from the word ADDRESS.
What is 1260?
An NFL team has 53 players. 11 can be on the field at one time. Find the number of different groups of players that can be on the field.
What is 53C11 = 7.62 x 1010?
A field goal kicker makes back-to-back extra points 361/400 of the time. He makes 19/20 of his extra point attempts.
Find the probability that he makes the second attempt, given that he made the first.
What is 19/20?
(361/400) / (19/20)
10! / 6!
What is 5040?
A baseball team has 20 players, but only 9 can be on the field at any one time. How many different teams can be assembled?
1. Permutation or Combination
2. Calculate it!
1. Combination
2. What is 20C9 = 167,960?
Suppose you form a 4-letter string from the letters A, D, E, G, L, N, P, R, V.
1. Write the number of permutations as a ratio of factorials.
2. Calculate the number of permutations.
1. What is 9!/5! ?
2. What is 3024?
In a class of 16 students, the teacher chooses 3 to work as a group. Find the number of different groups possible.
What is 16C3 = 560?
Some students took an optional training class before taking their driver's license test. The probability that a student took the class and passed the test is 28/75. The probability that a student passed the test is 8/15. The probability that a student took the class is 3/5.
Find the probability that a student took the class, given that they passed the test.
What is 7/10?
(28/75) / (8/15) =0.0249
(5!3!) / 4!
What is 30?
A standard deck of playing cards. How many 7 card hands can you deal without replacement.
1. Combination or Permutation
2. Calculate it!
1. What is a combination?
2. What is 52C7 =133,784,560?
A locker combination has a 3-digit code to unlock. The numbers are 0-9. The code to unlock to locker has no digits repeating.
If you tried one code every 10 seconds. How long would it take you to unlock the locker? Answer in hours.
10P3 = 720
720(10) =7,200
What is 2 hours?
What is 22C5 = 26,334?
6 yellow marbles, 2 blue marbles, 3 pink marbles, and 4 white marbles in a bag. No replacement.
Probability that you choose a blue marble, given that you have already chosen a blue marble.
What is 1/14?
P(A and B) = 1/105
P(A) = 2/15
NO CALCULATOR
8!
What is 40,320?
How many different ways could you arrange 5 books on a shelf.
1. Permutation or Combination
2. Calculate it!
1. What is a permutation?
2. What is 5P5 = 120?