Combinatorics - practice problems - page 2 of 50
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: 993
- Five brown
Five brown eye contracts, seven green pairs, and four blue pairs. What's the probability Gianna will randomly select a brown or green pair? - A fair coin
A fair coin is tossed twice. Write down the set of possible outcomes. What is the probability of obtaining it? I. Exactly one head ii. No head - Menu choice
In a Jollibee, you have a menu choice of C1, C2, and C3. For dessert, you have a choice of ice cream and mango peach. How many different options do you have? - Competition 73174
There are 10 students in the class, of which 8 are girls and two are boys. We want to select three for the competition. What is the probability that they will be: a) 2 girls and 1 boy b) 1 girl and 2 boys c) 3 girls d) 3 boys e) at least 2 girls - 20 balls
20 colored balls in a bag: Four red Seven green Nine yellow What is the probability of picking a yellow ball? - Four-digit 73114
How many four-digit numbers can we assemble from the digits 2, 6, 3, 5, 1, and 9 if the numerals in the number cannot be repeated? - T-shirts 73074
Dušan has 8 T-shirts and three pairs of shorts in his closet. How many ways can he dress for school? - Probability 71784
What is the probability that if you roll the die twice, the sum of 12 will fall? - Three-digit 71724
Use the product rule to find out how many three-digit numbers exist. - Probability 71674
There are 32 passengers on the bus, including three passengers who still need a valid ticket. After a while, an inspector got on the bus and started checking the tickets. What is the probability that he wanted to check the passenger's ticket without a tic - 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 - Altogether 69994
Twelve players signed up for the squash tournament. Based on the lottery, they formed pairs, and in the first round, each pair played one match. The winners advanced to the second round, where they played each other one game at a time. How many matches we - Chocolate 69554
The pastry shop has 10 types of desserts, 8 types of ice cream, and 3 types of hot chocolate. How many options does Milan have to choose from if: A) one sweet B) some dessert and 1 scoop of ice cream? C) Some dessert, 1 scoop of ice cream, and 1 hot choco - 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?
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