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# Combinations Quiz

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@IntegratedPanFlute

False

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True

### In Example 3, the total ways of choosing a committee of 2 boys and 3 girls from 8 boys and 4 girls is 96.

<p>False</p> Signup and view all the answers

### In Example 4, the total groups that can be formed by choosing a group of 5 students from 6 boys and 8 girls with at least 4 boys is 126.

<p>True</p> Signup and view all the answers

### How many groups of 3 can be formed from 9 people?

<p>84 groups</p> Signup and view all the answers

### In how many ways can 4 students be selected from a group of 7 students?

<p>35 ways</p> Signup and view all the answers

### If there are 6 books on a shelf, how many ways can 2 books be selected?

<p>18 ways</p> Signup and view all the answers

### From a group of 12 athletes, how many different relay teams of 4 athletes can be formed?

<p>924 teams</p> Signup and view all the answers

### If there are 5 colors of paint, how many different pairs of colors can be chosen?

<p>12 pairs</p> Signup and view all the answers

## Study Notes

• Combination refers to selecting from a set where the order is not important.
• Formula for evaluating combinations: n objects taken r at a time = n! / ((n-r)! * r!)
• Example 1: How many groups of 4 can be formed from 10 people? Solution: 210 groups.
• Example 2: In how many ways can 5 people shake hands? Solution: 10 ways.
• Example 3: Choosing a committee of 2 boys and 3 girls from 8 boys and 4 girls. Total ways: 112.
• Example 4: Choosing a group of 5 students from 6 boys and 8 girls with at least 4 boys. Total groups that can be formed: 126.

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## Description

Test your knowledge on combinations, a concept that involves selecting objects from a set where the order is not important. Practice calculating the number of ways groups can be formed or members selected with different conditions.

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