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...
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...
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 different ways could you arrange 5 books on a shelf? Using permutations, you can type in 5! and we get: 120 different ways.
A catering service offers 3 appetizers, 6 main courses, and 4 desserts. A customer is to select 2 appetizers, 3 main courses, and 3 desserts for a...
Committees of 4 men 5 women form a group of 11 men and 11 women. We want combinations. 4 men from 11 men is the combination 11C4. Using our...
A school dance committee is to consist of 2 freshmen, 3 sophomores, 4 juniors, and 5 seniors. If 6 freshmen, 9 sophomores, 7 juniors, and 7...
How many ways can 5 people be seated in 5 seats? We have the permutation 5!. Because the first seat can have 5 different people. The next seat...
Find the number of combinations and the number of permutations for 10 objects taken 6 at a time Combinations is written as 10 C 6. Using our...
Separate names with a comma.
