# Combinatorics - math word problems

- Digits

How many odd four-digit numbers can we create from digits: 0, 3,5,6,7? - Menu

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

How many ways can we place 7 books in a bookshelf? - Probability of intersection

Three students have a probability of 0.7,0.5 and 0.4 to graduated from university respectively. What is the probability that at least one of them will be graduated? - A jackpot

How many times must I play this jackpot to win? A jackpot of seven games having (1 X 2), i. E. , home win or away win. - Three-digit integers

How many three-digit natural numbers exist that do not contain zero and are divisible by five? - 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 - 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. - 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? - Three numbers

We have three different non-zero digits. We will create all 3 digits numbers from them to use all 3 figures in each number. We add all the created numbers, and we get the sum of 1554. What were the numbers? - Pages counting

There are pages numbered from 2 to 104 in the book. How many digits have to be printed to number the pages? - Three shooters

Three shooters shoot, each one time, on the same target. The first hit the target with a probability of 0.7; second with a probability of 0.8 and a third with a probability of 0.9. What is the probability to hit the target: a) just once b) at least once - Internet anywhere

In school, 60% of pupils have access to the internet at home. A group of 8 students is chosen at random. Find the probability that a) exactly 5 have access to the internet. b) At least 6 students have access to the internet - Practice

How many ways can you place 20 pupils in a row when starting on practice? - Each with each

Five pupils from 3A class played table tennis. How many matches did they play with each other? - Election 4

In a certain election there are 3 candidates for president 5 for secretory and 2 for tresurer. Find how many ways the election may (turn out/held). - Perfect cubes

Suppose a number is chosen at random from the set (0,1,2,3,. .. ,202). What is the probability that the number is a perfect cube?

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