The Celebration
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)
Final 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:
combinatoricsGrade of the word problem
Related math problems and questions:
- Boy girl placement
Three boys and four girls. How many ways can they be placed side by side according to gender? - Competition in the class
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? - 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? - Delegation - b&g
There are 22 girls and nine boys in the class. How many ways can a delegation be created with three girls and one boy? - Service specification ways
There are 15 boys and 20 girls in the brigade. How many different services can be specified if one girl and two boys are on the service? - 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
