How many ways are there to hang 5 paintings on 5 hooks? 5! = 5 x 4 x 3 x 2 x 1 5! = 120
A baseball team has 25 total players consisting of 15 position players and 10 pitchers. How many different ways are there to arrange the batting...
An eccentric millionaire has 5 golden hooks from which to hang her expensive artwork. She wants to have enough paintings so she can change the...
One thousand people in. room decide to shake hands with every other person in the room. Instead of one handshake per couple, each person must...
If 100 people are required to introduce themselves to each other and shake hands with each person one time, how many handshakes will take place?...
Five players are going to be picked to start a basketball game. If there are 13 players on the team, how many different combinations of 5 starting...
Eight people have volunteered for a secret mission that requires only 3 people. How many different combinations are possible? We want 8...
A music camp with 50 students decided to break the students into barbershop quartets to see which combination of four students sounded the best....
Twelve friends went to a movie theater. Because the movie was boring, they decided to figure out how many different ways they could sit in the 12...
Mrs. Lopez gave a homework assignment over summer vacation to read three books from the following list: a) Call of the Wild b) Wuthering Heights...
A mathematician has 8 favorite paintings and only 6 wall hooks to hang the paintings. How many different ways can she hang the paintings? 8...
Jay has 5 paintings that he plans to display on a wall that only has 4 books. Nancy has 5 paintings that she plans to display on a wall with 5...
Ten people are competing for the title of "Best Singer in the World". There will be a 1st place and a 2nd place awarded. How many different ways...
How many possible batting orders are there for a baseball team with 9 players? 9! = 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 362,880 batting orders
Sara wants to arrange the seven scrabble letters she has in every possible way so she can determine if she has a 7-letter word. how many different...
A soccer team has picked its five best players to take part in penalty kicks to determine the winner of a soccer match that is tied. Each of the...
Abbey knew that the combination for her locker had the numbers 36, 12, 8, and 40, but she couldn't remember the right order of the numbers. How...
Laura has three errands to complete. She must wash the dishes, mow the lawn, and paint a fence. How many ways can Laura arrange the order of the...
Find r in P(7, r) Recall the permutations formula: 7! / (7-r!) = 840. We run 7! through our search engine and we get: 7! = 5040 5040 / (7 - r)!...
A tourist in Ireland wants to visit six different cities. How many different routes are possible? We want 6! which is 720
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