# Combinatorics - examples - page 3

- Party

At party overyone clink with everyone. Together, they clink 171 times. How many people were at the party? - Pizza

A school survey found that 12 out of 15 students like pizza. If 6 students are chosen at random, what is the probability that all 6 students like pizza? - 2nd class combinations

From how many elements you can create 4560 combinations of the second class? - Kids

How many different ways can sit 8 boys and 3 girls in line, if girls want to sit on the edge? - Lines

In how many points will intersect 14 different lines, where no two are parallel? - Commitee

A class consists of 6 males and 7 females. How many committees of 7 are possible if the committee must consist of 2 males and 5 females? - Monty Hall

Suppose you're on a game show, and you're given the choice of three doors: Behind one door is a car; behind the others, goats. You pick a door, say No. 1, and the host, who knows what's behind the doors, opens another door, say No. 3, which has a goat. W - Lottery

The lottery is 60000 elk in which 6200 wins. What is the probability that the purchase of 12 elks won nothing? - Hockey players

After we cycle five hockey players sit down. What is the probability that the two best scorers of this crew will sit next to each other? - Area codes

How many 6 digit area codes are possible if the first number can't be zero? - School trip

Class has 17 students. What different ways students can be accommodated in the hostel, where available 3× 2-bed, 1× 3-bed and 2× 4-bed rooms. (Each room has its own unique number) - Numbers

How many different 7 digit natural numbers in which no digit is repeated, can be composed from digits 0,1,2,3,4,5,6? - Toys

3 children pulled 12 different toys from a box. Many ways can be divided toys so that each children had at least one toy? - Family

What is the probability that a family with 7 childrens have: exactly 5 girls? 7 girls and 0 boys? Consider the birth probability of a girl is 48.69% and boy 51.31%. - Three digits number

How many are three-digit integers such that in they no digit repeats? - Components

In the box are 8 white, 4 blue and 2 red components. What is the probability that we pull one white, one blue and one red component without returning? - Combi-triangle

On each side of the square is marked 10 different points outside the vertices of the square. How many triangles can be constructed from this set of points, where each vertex of the triangle lie on the other side of the square? - Bulbs

The probability that the bulb can operate 5000 hours is 0.16. What is the probability that exactly one of three bulbs can operate 5000 hours? - Cars plates

How many different licence plates can country have, given that they use 3 letters followed by 3 digits? - Chess

How many ways can select 4 fields on classic chess board with 64 fields, so that fields don't has the same color?

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