# Combinatorial number + multiplication principle - examples

- Word

What is the probability that a random word composed of chars T, H, A, M will be the MATH? - Rectangles

How many rectangles with area 3032 cm^{2}whose sides is natural numbers are? - Candy

How many ways can divide 16 identical candies to 4 children? - Stacks

Annie has a total of $ 702. The money must be divided into stacks so that each buyer has the same amounth of dollars. How many options she have? - 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? - 2nd class combinations

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

There are 20 children in the group, each two children have a different name. Alena and John are among them. How many ways can we choose 8 children to be among the selected A) was John B) was John and Alena C) at least one was Alena, John D) maximum one w - Cinema

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

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

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

Hockey match ended 8:2. How many different matches could be? - Weekly service

In the class are 20 pupils. How many opportunities have the teacher if he wants choose two pupils randomly who will weeklies? - 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)? - Count of triangles

Given a square ABCD and on each side 8 internal points. Determine the number of triangles with vertices at these points. - Hockey game

In the hockey game was made 6 goals. Czech played against Finland. Czechs won 4:2. In what order to fall goals? How many game sequence was possible during the game? - Salami

How many ways can we choose 5 pcs of salami, if we have 6 types of salami for 10 pieces and one type for 4 pieces? - Sum or product

What is the probability that two dice fall will have the sum 7 or product 12? - 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?

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