K-permutations + multiplication principle - practice problems - page 10 of 14
Number of problems found: 261
- Glass with icecream
We have six kinds of ice cream and five kinds of fruit. If we put three cups of ice cream and two fruits into each glass, how many uniquely decorated glasses can there be? - Three-digit numbers
How many three-digit numbers do we make from the numbers 4,5,6,7? - Cinema seating
Seven boys are sitting next to each other in the cinema. How many ways can they sit on the seats if the boys want to sit next to each other? - Probability
A chessboard consists of 8×8 squares forming a square. A rook is unthreatened if there is no other rook in the same row or column. What is the probability that when 8 rooks are placed on a chessboard, none of them threatens another (they each stand in a d - Arranging Coats Display
The arranger is to display three identical beige, two identical green, and one black coat in the shop window. How many ways can it do that? - Dd 2-digit numbers
Find all odd 2-digit natural numbers compiled from digits 1; 3; 4; 6; and 8 if the digits are not repeated. - Natural Numbers Less 400 How many natural numbers less than 400 can I assemble if the numbers do not repeat?
- Four-member team
There are 14 girls and 11 boys in the class. How many ways can a four-member team be chosen so that there are exactly two boys in it? - Visiting Cities Order Ways
The tourist group wanted to visit the four Slovak cities: Bratislava, Banská Bystrica, Ružomberok, and Levice. They decided that Levice would be the third place they would visit. How many different ways could they organize their city visit program? - Passengers Exiting Stations Ways
Twenty-two passengers boarded in Žilina. Everyone gradually disembarked on the Teplička, Strečno, Vrútky, and Martin lines (the wagon was already empty in Martin). How many ways could they come out? - Raffle
There are 200 tickets in a raffle, but only 20 are winners. What is the probability that a group of people who bought 5 tickets together wins at least 4 prizes? - Ball drawing
There are 15 black and 20 white balls in Destiny. How many ways can six balls be drawn to have exactly two whites between them? - How many
How many double-digit numbers greater than 30 can we create from digits 0, 1, 2, 3, 4, and 5? We cannot repeat numbers in a two-digit number. - Arranging Adjacent Colors
Tomas has four football jerseys: red, blue, white, and green. How many ways can Thomas place them on the shelf next to each other so that the red and blue jerseys are adjacent? - Dice probability
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 exist, such as Amy, Bob, Chl - Natural numbers
How many natural numbers can we create less than 301 from the number 0,1,2,3,6,7? - Divisible numbers How many natural numbers are divisible by five less than 8000, composed of the digits 0,1,2,5,7,9?
- Farewell photos
At the end of the school year, ninth-grade boys and girls said goodbye by exchanging photos with each other. A total of 552 photos were exchanged. How many students were there?
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