# Combinatorial number - math word problems

- Divide

How many different ways can three people divide 7 pears and 5 apples? - Sick days

In Canada, there are typically 261 working days per year. If there is a 4.9% chance that an employee takes a sick day. .. what is the probability an employee will use 17 OR MORE sick days in a year? - Fruits

In the shop sell 4 kinds of fruits. How many ways can we buy three pieces of fruit? - Bouquets

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

A florist has roses, tulips, daffodils, and carnations to use in flower arrangements. If she were to make an arrangement using 12 flowers, how many different combinations of these 4 types of flowers would be possible? - Pairs of socks

Ferdinand has twelve pairs of socks, 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. - Records

Records indicate 90% error-free. If 8 records are randomly selected, what is the probability that at least 2 records have no errors? - 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 - Probability of malaria

A survey carried out at a certain hospital indicates that the probability that a patient tested positive for malaria is 0.6. What is the probability that two patients selected at random (i) one is negative while the other tested positive? (i) both patie - Menu

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

Each letter in STRESSED is printed on identical cards, one letter per card and assembled in random order. Calculate the probability that the cards spell DESSERTS when assembled. - Classroom

Of the 26 pupils in the classroom, 12 boys and 14 girls, four representatives are picked to the odds of being: a) all the girls b) three girls and one boy c) there will be at least two boys - 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? - A pizza

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

94 boys are born per 100 girls. Determine the probability that there are two boys in a randomly selected family with three children. - Boys and girls

There are 11 boys and 18 girls in the classroom. Three pupils will answer. What is the probability that two boys will be among them?

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