# Combinatorial number - math word problems

#### Number of problems found: 118

- Bouquets

In the flower shop they sell roses, tulips and daffodils. How many different bouquets of 5 flowers can we made? - Ten persons

Ten persons, each person makes a hand to each person. How many hands were given? - Six questions test

There are six questions in the test. There are 3 answers to each - only one is correct. In order for a student to take the exam, at least four questions must be answered correctly. Alan didn't learn at all, so he circled the answers only by guessing. What - Playing cards

From 32 playing cards containing 8 red cards, we choose 4 cards. What is the probability that just 2 will be red? - 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)? - Pairs of socks

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

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

How many ways can we divide nine workers into three workplaces if they need four workers in the first workplace, 3 in the second workplace and 2 in the third? - Families 2

There are 729 families having 6 children each. The probability of a girl is 1/3 and the probability of a boy is 2/3. Find the the number of families having 2 girls and 4 boys. - 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? - Genetic disease

One genetic disease was tested positive in both parents of one family. It has been known that any child in this family has a 25% risk of inheriting the disease. A family has 3 children. What is the probability of this family having one child who inherited - Triangles

Five sticks with a length of 2,3,4,5,6 cm. How many ways can you choose three sticks to form three sides of a triangle? - Deficiencies

During the hygienic inspection in 2000 mass caterers, deficiencies were found in 300 establishments. What is the probability that deficiencies in a maximum of 3 devices will be found during the inspection of 10 devices? - Combinations 6

6 purses 9 flaps 12 straps Every combination must include 1 purse, 1 flap, and 1 strap. How many are possible combinations? - Subsets

How many 19 element's subsets can be made from the 26 element set? - 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? - A pizza

A pizza place offers 14 different toppings. How many different three topping pizzas can you order? - Dice

We throw 10 times a play dice, what is the probability that the six will fall exactly 4 times? - Roses 2

Aunt Rose went to the flower shop to buy a bouquet with three roses. The flower shop had white, yellow and red roses. How many different flowers bouquet can a flower make for Aunt Rose create? Write all the bouquet options. - Table and chairs

Four people should sit at a table in front of a row of 7 chairs. What is the probability that there will be no empty chair between them if people choose their place completely at random?

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