Permutations - math word problems - page 13 of 18

Number of problems found: 342

Outfit Combination Count
Milan found out that he could wear pants and a T-shirt in a total of 28 different ways. How many T-shirts and pants can he have? List all options.
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?
Triangles
Five sticks with a length of 2,3,4,5,6 cm. How many ways can you choose three sticks to form three sides of a triangle?
Choosing Colors for Sweater
Danka knits a sweater and has a choice of seven colors. a) How many ways can he choose three colors for the sleeves? b) He wants ribbons of four colors on his back. How many options does he have to choose from?
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.
Permutations Equation Elements
Seven times the permutations of n elements equal one-eighth of the permutations of n + 2 elements. What is the number of elements?
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?
Locker Code Possibilities
Peter forgot the four-digit code to his school locker lock. Fortunately, his mother remembered some information about him. He knows that the first binary number is divisible by 15 and the second by 7. However, Peter is a big loser, so he has to try all th
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?
Twins with friend
Twins Dana and Jane went to the cinema with their friend Betty. Only six seats in the second row were available in the cinema. The twins want to sit next to each other. Dana always sits to the right of Jane, and Betty sits next to one of them. In how many

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