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....
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...
Dale has a box that contains 20 American quarters and 20 Canadian quarters. If he takes them from the box one at a time, how many must he remove...
THE PLAYER CHOSE 20 OUT OF 70 NUMBERS IN A GAME OF CHANCE. ...WHEN THE SHOW BEGIN,THE BANKER WILL THEN RAFFLE OR DO A DRAW WHERE IN THE BANKER...
There are 24 competitors in a cycling race. How many different selections are possible for first and second place? We want unique combinations,...
11 combination of 3 times 6 combination of 3 11 combination of 3 = 165 6 combination of 3 = 20 11 combination of 3 times 6 combination of 3 =...
How many ways can a basketball coach choose to the first five player from a group of 15 players We use combinations. We want 15 choose 5. We...
a license plate has 3 letters followed by 4 numbers There are 26 letters A-Z and 10 numbers 0-9. So we have: 26 * 26 * 26 * 10 * 10 * 10 * 10...
Suppose you are asked to choose three movies. If there are 20 different movies, in how many ways can the three movies be chosen? We want unique...
How many 4 person committees can be formed from a group of 11 people We want 11 choose 4, or 11C4. We type 11C4 into our search engine and we...
A bag contains 8 marbles of different colors. How many ways unique ways or orders can you select 3 marbles? We want the combinations formula, 8...
Meryl can only take 4 out of 7 classes offered during the summer. How many different ways can she choose the classes she will take We want 7...
A committee of 6 students are being selected from a class of 10 girls and 8 boys. How many committees are possible if three must be girls and 3...
Twelve students tried out for the football team. Coach Moorhead only has 5 openings. In how many ways, can he pick 5 of the 12 students to be on...
a licence plate that has 3 numbers from 0 to 9 followed by 2 letters How many license plate combinations can we form? We multiply as follows:...
From a group of 10 men and 8 women, how many ways can 2 men and 3 women be chosen for 5 positions? We use combinations. Since men and women are...
Separate names with a comma.
