Combinatorial number - high school - practice problems
Number of problems found: 139
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?
At the disco goes 12 boys and 15 girls. In how many ways can we select four dancing couples?
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?
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?
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?
The city has 7 fountains. Works only 6. How many options are there that can squirt?
How many different circles are determined by 9 points at the plane if 6 of them lie in a straight line?
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?
In MATES (Small Television tipping), from 35 random numbers drawn 5 winning numbers. How many possible combinations are there?
How many ways can be divided 11 free tickets to the premiere of "Jáchyme throw it in the machine" between 6 pensioners?
See also our combinations calculator. Combinatorial number - practice problems. Examples for secondary school students.