Variations + permutations - practice problems - page 7 of 8
Number of problems found: 158
- Twins with friend
The twins Danka and Janka went to the cinema with their friend Betka. Only six seats in the second row were available in the cinema. The twins want to sit next to each other. Danka is always to the right of Janka, and Betka is near one of them. How many m - Probability 5576
Jana rolls two dice at the same time. What is the probability that she will score a total of four points? - Tournament
Six teams entered the basketball tournament. How many matches will be played if each team has to play one match with the other? - Desks
A class has 20 students. The classroom consists of 20 desks, with four desks in each of 5 different rows. Amy, Bob, Chloe, and David are all friends and would like to sit in the same row. How many possible seating arrangements are there such that Amy, Bob
- Natural 5474
How many natural numbers can we create less than 301 from the number 0,1,2,3,6,7? - Divisible 5454
How many natural numbers are divisible by five less than 8000, composed of the digits 0,1,2,5,7,9? - Ninth-grade 5446
When the ninth-grade boys and girls said goodbye at the end of the school year, they each gave each other their photos. It was a total of 552 images. How many farewells were there? - Word MATEMATIKA
How many words can be created from the phrase MATEMATIKA by changing the letters' order, regardless of whether the words are meaningful? - VCP equation
Solve the following equation with variations, combinations, and permutations: 4 V(2,x)-3 C(2,x+ 1) - x P(2) = 0
- Digits
How many natural numbers greater than 4000 are formed from the numbers 0,1,3,7,9 with the figures not repeated, B) How many will the number of natural numbers be less than 4000, and can the numbers be repeated? - Salami
We have six kinds of salami that have ten pieces and one kind of salami that has four pieces. How many ways can we distinctly choose five pieces of salami? - Different 4533
Five different positive numbers are written on the board. Determine the largest possible number of pairs formed from them in which the sum of the two elements equals one of the five numbers written on the board. - There
There were 12 members on the commission. In the vote, five members were in favor, and seven members were against the proposal. In how many ways could it help the commission vote? - Girlfriends 4107
Four girlfriends want to take a photo together. How many different ways can they stand side by side?
- Divisions 4044
School players scored seven goals in the match. List all possible goal divisions into three-thirds and add up how many. - Tokens
The non-transparent bags are red, white, yellow, and blue tokens. We 3times pulled one token and again returned it, writing down all possibilities. - Combinations of sweaters
I have four sweaters, two are white, one red and one green. How many ways can you sort it out? - Dices throws
What is the probability that the two throws of the dice: a) Six falls even once b) Six will fall at least once - Eight blocks
Dana had the task of saving the eight blocks of these rules: 1. Between two red cubes must be a different color. 2. Between two blue must be two different colors. 3. Between two green must be three different colors. 4. Between two yellow blocks must be fo
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