Competition

Fifteen boys and ten girls are in the class. In the school competition, a six-member team composed of four boys and two girls is selected. How many ways can we choose students?

Your answer:

Help us improve! If you spot a mistake, please let let us know. Thank you!

Tips for related online calculators

Would you like to compute the count of combinations?
See also our permutations calculator.

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

combinatorics

binomial coefficient
permutations
multiplication principle

basic operations and concepts

reasoning

Grade of the word problem

high school

Related math problems and questions:

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?
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
Honored students
Of the 25 students in the class, ten are honored. How many ways can we choose five students from them if there are to be exactly two honors between them?
Dance couple pairs
Ten girls and seven boys are in the dance group. Only one mixed couple is to go to the competition. How many possible pairs can we choose from?
Team creation options
The teacher wants to create one three-member team from four girls and four boys, with one girl and two boys on the team. How many different ways can the teacher form the team?
Team girl composition
How many different 6-member teams can be made up of seven boys and four girls if there are two or four girls in the team?
In class 24
There are a total of 16 students in the class, a quarter of whom are girls. A team of five is selected at random. Determine the probability that the team will have: a) at least 4 girls, b) at most 1 girl, c) no girls.