# Competition

15 boys and 10 girls are in the class. On school competition of them is selected 6-member team composed of 4 boys and 2 girls. How many ways can we select students?

Result

n =  61425

#### Solution: Leave us a comment of example and its solution (i.e. if it is still somewhat unclear...): Be the first to comment! #### To solve this example are needed these knowledge from mathematics:

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

## Next similar examples:

1. Division Division has 18 members: 10 girls and 6 boys, 2 leaders. How many different patrols can be created, if one patrol is 2 boys, 3 girls and 1 leader?
2. Disco On the disco goes 12 boys and 15 girls. In how many ways can we select four dancing couples?
3. First class The shipment contains 40 items. 36 are first grade, 4 are defective. How many ways can select 5 items, so that it is no more than one defective?
4. Weekly service In the class are 20 pupils. How many opportunities have the teacher if he wants choose two pupils randomly who will weeklies?
5. 2nd class combinations From how many elements you can create 4560 combinations of the second class?
6. Trinity How many different triads can be selected from the group 43 students?
7. A book A book contains 524 pages. If it is known that a person will select any one page between the pages numbered 125 and 384, find the probability of choosing the page numbered 252 or 253.
8. Fish tank A fish tank at a pet store has 8 zebra fish. In how many different ways can George choose 2 zebra fish to buy?
9. A student A student is to answer 8 out of 10 questions on the exam. a) find the number n of ways the student can choose 8 out of 10 questions b) find n if the student must answer the first three questions c) How many if he must answer at least 4 of the first 5 que On the menu are 12 kinds of meal. How many ways can we choose four different meals into the daily menu?
11. Theorem prove We want to prove the sentence: If the natural number n is divisible by six, then n is divisible by three. From what assumption we started?
12. Calculation of CN Calculate: ?
13. Hockey Hockey match ended 8:2. How many different matches could be?
14. The confectionery The confectionery sold 5 kinds of ice cream. In how many ways can I buy 3 kinds if order of ice creams does not matter?
15. Points in plane The plane is given 12 points, 5 of which is located on a straight line. How many different lines could by draw from this points?
16. Count of triangles Given a square ABCD and on each side 8 internal points. Determine the number of triangles with vertices at these points.
17. Tokens In the non-transparent bags are red, white, yellow, blue tokens. We 3times pull one tokens and again returned it, write down all possibilities.