Combinatorics - practice problems - page 5 of 57
Number of problems found: 1135
- Natural numbers
Find the number of all natural numbers greater than 200 in which the digits 1, 2, 4, 6, 8 occur at most once and not contains any other digits. - Four-digit natural numbers Determine the number of all four-digit natural numbers in decimal notation in which the digit 0 is not present, and each of the remaining nine numbers occurs at most once.
- Shoe cabinet combinations
In the shoe cabinet, there is one pair each of boots, sandals, tennis shoes, and brown and black ankle boots. Determine how many ways one right shoe and one left shoe can be chosen from among them that do not belong together. - Dishes
The HOD is to test at least three different dishes out of five before scoring the students. How many ways can he choose the dishes? - 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 in the class
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 number creation
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? - Shirt short combinations
Dustin has 8 T-shirts and three pairs of shorts in his closet. How many ways can he dress for school? - Dice sum probability
What is the probability that if you roll the die twice, the sum of 12 will fall? - Three-digit number count Use the product rule to find out how many three-digit numbers exist.
- Inspector ticket probability
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 - Dice same probability We have a loaded die where numbers appear 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 two tosses give the same number.
- Group women selection 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.
- Paths to the hill
From a car park it is possible to ascend to the top of a hill on three different hiking trails or by going up by cable car, and in the same four ways it is possible to descend from the hill back to the car park, as illustrated in the picture. By a path to - Squash tournament matches
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 - Milan dessert options
The pastry shop has 10 types of desserts, 8 types of ice cream, and 3 types of hot chocolate. How many options does Milo 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 chocol - Dance couple pairs
Ten girls and seven boys are in the dance group. Only one mixed couple is to go to the competition. How many possible pairs can we choose from?
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