Permutations
True or false: Order does not matter in cases where we calculate a permutation.
FALSE
How many ways are there to select 3 class representatives from a group of 11?
165
How many different outfits can you make if you own 4 shirts, 2 pairs of pants, and 8 pairs of shoes?
64
In a 52-card deck, what is the probability of selecting a 10?
4/52
Expand (x+y)4
x4+4x3y+6x2y2+4xy3+y4
How many 6 digit passcodes can be made from digits 0-9?
1,000,000
How many ways can a team of 10 be formed from a group of 23 people trying out?
1,144,066
How many ways can a group of 8 students be arranged in a line?
40,320
When flipping a coin 6 times, what is the probability that it will land on heads 4 times?
15/64
What is the 5th row of Pascal's Triangle?
1, 5, 10, 10, 5, 1
How many ways can a President, VP, Secretary, and Treasurer be elected from a group of 15?
32,760
How many ways can you choose 4 desserts from a menu of 16?
1,820
How many ways can the letters of LOLLIPOP be rearranged?
1,680
When rolling two 6-sided dice, what is the probability that the sum will be 8?
5/36
Expand (2x-3y)4
16x4-96x3y+216x2y2-216xy3+81y4
How many ways can 1st, 2nd, and 3rd place be awarded to a group of 13 racers?
1716
If you're randomly choosing books to donate and keep, how many different variations of books on your bookshelf will you have if you do the following: choose 3 novels from 11, choose 5 biographies from 7, and choose 2 poetry books from 9?
124,740
A bag of candy consists of 7 chocolates, 5 starbursts, and 9 lollipops. What is the probability of selecting 1 of each kind?
315/7980
In a bridge hand, what is the probability of all cards being from the same suit?
4/(6.35*10^11)
What is the probability of rolling a dice and having it land on a 3 and flipping a coin and having it land on tails?
1/12
How many passwords can be made if it must contain 8 lowercase letters and 4 digits?
3.17*10^14
Your flower shop has the following inventory: 8 red flowers, 5 yellow flowers, 4 pink flowers, and 10 white flowers. Your next order to fill must have 4 red flowers, 2 yellow flowers, 1 pink flower, and 6 white flowers. How many different bouquets can be made?
588,000
When rolling 3 dice, what is the probability that the sum will be 10?
27/216
In a 5-card poker hand, what is the probability of holding two pairs of different kinds (like two 2's and two 5's)?
123552/2598960
What was Julius named after?
Bailey's favorite beer