# Combinatorial number + multiplication principle - math problems

#### Number of problems found: 72

- The flag

The flag should consist of 3 different colored stripes. Available colors: white, red, blue, green and yellow. Specify: A) number of all flags B) number of flags with a blue stripe C) number of flags with a blue stripe in the middle D) the number of flags - Committee 2

How many committee consisting of 3 women and 2 men can be formed from a group of 6 woman and 5 men? - There 8

There are 7 women and 5 men in a department. a) how many ways can a committee of 3 people be selected? b) how many ways can a committee of 2 men and 1 woman be selected? c) how many ways can a committee of at least 2 woman be selected (3 people total)? - Created trio

What is the probability that in the created trio, which consists of 19 boys and 12 girls, they will be: a) the boys themselves b) the girls themselves c) 2 boys and 1 girl? - The six

The six boys are to be led up the hill by a two-seater lift. How many options are there? - Seedbeds

The father wants to plant 2 seedbeds of carrot and 2 seedbeds of onion. Use a tree chart to find how many different options for placing the seedbeds he has. - Honored students

Of the 25 students in the class, 10 are honored. How many ways can we choose 5 students from them, if there are to be exactly two honors between them? - A license

A license plate has 3 letters followed by 4 numbers. Repeats are not allowed for the letters, but they are for the numbers. If they are issued at random, what is the probability that the 3 letters are in alphabetical order and the 3 numbers are consecutiv - School parliament

There are 18 boys and 14 girls in the class. In how many ways can 3 representatives be elected to the school parliament, if these are to be: a) the boys themselves b) one boy and two girls - Two-element combinations

Write all two-element combinations from elements a, b, c, d. - Hazard game

In the Sportka hazard game, 6 numbers out of 49 are drawn. What is the probability that we will win: a) second prize (we guess 5 numbers correctly) b) the third prize (we guess 4 numbers correctly)? - Tournament

How many matches will be played in a football tournament in which there are two groups of 5 teams if one match is played in groups with each other and the group winners play a match for the overall winner of the tournament? - Research in school

For particular research in high school, four pupils are to be selected from a class with 30 pupils. Calculate the number of all possible results of the select and further calculate the number of all possible results, if it depends on the order in which th - Divide

How many different ways can three people divide 7 pears and 5 apples? - Pairs of socks

Ferdinand has twelve pairs of socks, and one sock is leaky. What is the probability of putting on a leaky sock? - Beads

How many ways can we thread 4 red, 5 blue, and 6 yellow beads onto a thread? - Cube construction

A 2×2×2 cube is to be constructed using 4 white and 4 black unit cube. How many different cubes can be constructed in this way? ( Two cubes are not different if one can be obtained by rotating the other. ) - Two groups

The group of 10 girls should be divided into two groups with at least 4 girls in each group. How many ways can this be done? - Graduation party

There are 15 boys and 12 girls at the graduation party. Determine how many four couples can be selected. - Menu

On the menu are 12 kinds of meal. How many ways can we choose four different meals into the daily menu?

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See also our combinations calculator. Combinatorial number - math problems. Multiplication principle - math problems.