# Combinatorial number - high school - practice problems

#### Number of problems found: 139

- Volleyball

8 girls want to play volleyball against boys. On the field at one time can be six players per team. How many initial teams of these girls may trainer to choose? - Disco

At the disco goes 12 boys and 15 girls. In how many ways can we select four dancing couples? - Division

The division has 18 members: 10 girls and six boys, two leaders. How many different patrols can be created if one patrol is two boys, three girls, and one leader? - Class pairs

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

In the hockey game was made six goals. Czech played against Finland. Czechs won 4:2. In what order to fall goals? How many game sequences were possible during the game? - Three-digit numbers

How many three-digit numbers are from the numbers 0 2 4 6 8 (with/without repetition)? - Hockey match

The hockey match ended with a result of 3:1. How many different storylines may have the match? - 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? - travel agency

Small travel agency offers 5 different tours at honeymoon. What is the probability that the bride and groom choose the same tour (they choose independently)? - One green

In the container are 45 white and 15 green balls. We randomly select five balls. What is the probability that there will be one green ball maximally? - Balls

The urn is 8 white and 6 black balls. We pull 4 randomly balls. What is the probability that among them will be two white? - The camp

At the end of the camp a 8 friends exchanged addresses. Any friend gave remaining 7 friends his card. How many addresses they exchanged? - Pairs

From the five girls and four boys teachers have to choose one pair of boy and girl. A) How many such pairs of (M + F)? B) How many pairs where only boys (M + M)? C) How many are all possible pairs? - 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? - Combinatorics

The city has 7 fountains. Works only 6. How many options are there that can squirt? - Circles

How many different circles are determined by 9 points at the plane if 6 of them lie in a straight line? - Trinity

How many different triads can be selected from group 38 students? - Weekly service

In the class are 20 pupils. How many opportunities have the teacher selected two pupils who will have a week-class service randomly? - MATES

In MATES (Small Television tipping), from 35 random numbers drawn 5 winning numbers. How many possible combinations are there? - Cinema

How many ways can be divided 11 free tickets to the premiere of "Jáchyme throw it in the machine" between 6 pensioners?

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See also our combinations calculator. Combinatorial number - practice problems. Examples for secondary school students.