# Combinatorics - practice problems - page 2 of 46

Combinatorics is a part of mathematics that investigates the questions of existence, creation and enumeration (determining the number) of configurations.It deals with two basic tasks:

How many ways can we select certain objects

How many ways can we arrange certain objects

#### Number of problems found: 910

- Three-digit 71724

Use the product rule to find out how many three-digit numbers exist. - Probabilities 71194

We have a dummy die where numbers fall with probabilities P (1)=0.1; P (2)=0.2; P (3)=0.22; P (4)=0.16; P (5)=0.24; P (6)=0.08. Determine the probability that the two tosses the same numbers. - Including 70264

A group of six, including at least three women, is selected from seven men and four women. Find how many ways we can do this. - Assume

Assume that you are to buy 5-peso worth of candy in two different stores. In your coin purse that contains two 20-peso coins, three 10-peso coins, six 5-peso coins, and seven 1-peso coins, what is the probability of getting two consecutive 5-peso coins fr - Competition 69474

There are ten girls and seven boys in the dance group. Only one mixed couple is to go to the competition. How many are all possible pairs from which we can choose a pair for the competition? - Five-a-side 69434

Five children took part in the five-a-side tournament: Anka, Betka, Celeste, Dano, and Erik. Everyone played with everyone. How many games have been played? - Three-member 69274

The teacher wants to create one three-member team of four girls and four boys, in which there will be one girl and two boys. How many different options does it have to create a team? - Different 68754

We have six balls of different colors. We select two balls at once. How many options? - Probability 67544

Anna has four different colored pullovers and three different colored skirts. What is the probability that she will have a red pullover and a blue skirt in a random dress if we know that she has them in her wardrobe? - Probability 67264

The teacher has 20 questions, from which the student chooses two on the exam. The student learned 10 questions well, 6 partially, and 4 not at all. What is the probability that he will get both questions he knows well? - Possibilities 67094

5A students must elect a three-member class committee. However, only 6 pupils out of 30 are willing to work in it. How many possibilities do they have to create it if it does not matter what function the committee member will perform? - Raspberries 66824

Klára wants to make a fruit cocktail from three types of fruit. It has pineapple, pears, bananas, raspberries, and cherries. How many different cocktails can he create? - Designated 66594

Marenka is required to read three books out of five designated books. How many ways can three books choose to be read? - (2 66504

K (2, 8) + K (3, 4) = - 6 married

Six married couples are in a room. If two people are chosen at random. Find the probability that; a). they are married. b). one is male, and one is female. - Different 65654

Jane received three different marks (1-5) during the day. How many marks did she receive? A) 6 B) 8 C) 10 D) 12 - Three digit from four digits

How many three-digit numbers can you make using the digits 4,6,7, and 9? - Four-digit 65124

Please find out how many different four-digit numbers we can create from the digits 3 and 8 so that the two digits three and two digits eight are used in each four-digit number created. - Probability 64634

What probability does a randomly drawn two-digit number have the same digits? Write the result as a decimal number. - Sons

The father has six sons and ten identical, indistinguishable balls. How many ways can he give the balls to his sons if everyone gets at least one?

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