# 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?

### Correct answer:

**Showing 1 comment:**

**Orange**

why is it 13 choose 3 instead of 15 choose 3 considering there are 15 non-honored students in the class

1 year ago 3 Likes

Tips for related online calculators

See also our combinations with repetition calculator.

Would you like to compute the count of combinations?

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:

- Competition

Fifteen boys and ten girls are in the class. In the school competition of them is selected a 6-member team composed of 4 boys and two girls. How many ways can we choose students? - Exactly 5803

There are 15 black and 20 white balls in destiny. How many ways can six balls be drawn to have exactly two whites between them? - Examination

The class is 25 students. How many ways can we choose 5 students for examination? - Selected 37601

V III. There are 22 students in the FPR class. How many ways can four students be selected for a DVK class exam? - 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? - Math logic

There are 20 children in the group. Every two children have a different name. Alena and John are among them. How many ways can we choose eight children to be among the selected A) was John B) was John and Alena C) at least one was Alena, John D) maximum o - Committee 35431

There are 24 students in the class. How many ways can we select a class committee? Where are the chairman, treasurer, and bulletin board? - Sequentially 35731

There are 6 different tickets marked with numbers 1 to 6 in the pocket. In how many different ways can we sequentially, taking into account the order, choose three of them, if the chosen tickets return to the pocket? - Percentage 2813

In the classroom, 60% of students have good academic results. 20% of them are honored. What percentage of students in the class are honored? - Possible 16243

There are 30 students in the class, three of whom will be tested. How many ways are possible if their order does not matter? - Students 62184

There are 16 students in the class. How many options does the teacher have if she wants to choose two students who will be weekly? - 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 - Probability 68584

There are five whites and nine blacks in the destiny. We will choose three balls at random. What is the probability that a) the selected balls will not be the same color, b) will there be at least two blacks between them? - 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? - Defective 22153

There are 11 products in the box, of which just four are defective. How many ways can we choose five products so that at least four are not faulty? - Boys and girls

There are 20 boys and ten girls in the class. How many different dance pairs can we make of them? - Mumbai

A job placement agency in Mumbai had to send ten students to five companies, two to each. Two of the companies are in Mumbai, and others are outside. Two students prefer to work in Mumbai, while three prefer to work outside. How many ways can assignments