# Celebration 83607

Five boys and five girls were nominated for a celebration at a local school. How many ways can the prom king, prom queen, and two other students be chosen from those nominated? (The king must be a boy, and the queen must be a girl)

## Correct answer:

Tips for related online calculators

See also our permutations calculator.

See also our variations calculator.

Would you like to compute the count of combinations?

See also our variations calculator.

Would you like to compute the count of combinations?

### You need to know the following knowledge to solve this word math problem:

## Related math problems and questions:

- Class pairs

In a class of 34 students, including 14 boys and 20 girls. How many couples (heterosexual, boy-girl) can we create? By what formula? - Competition 73174

There are 10 students in the class, of which 8 are girls and two are boys. We want to select three for the competition. What is the probability that they will be: a) 2 girls and 1 boy b) 1 girl and 2 boys c) 3 girls d) 3 boys e) at least 2 girls - Four-member team

There are 14 girls and 11 boys in the class. How many ways can a four-member team be chosen so that there are exactly two boys in it? - Delegation 16263

There are 22 girls and nine boys in the class. How many ways can a delegation be created with three girls and one boy?

- Boy-girl 6766

How many boy-girl pairs can we create from a class of 15 boys and 16 girls? - School parliament

There are 18 boys and 14 girls in the class. In how many ways can three representatives be elected to the school parliament if these are to be: a) the boys themselves b) one boy and two girls - School group

There are five girls and seven boys in the group. They sit in a row next to each other. How many options if no two girls sit next to each other?