Combinatorics - math word problems - page 29 of 54
Number of problems found: 1079
- Probability of picking
There are 5 chocolate, 3 cottage cheese, and 2 apricot croissants in the bag. Croissants are randomly selected in bags. What is the probability of drawing 1 chocolate, 1 cheese, and 1 apricot croissant without returning?
- Cups on the shelf
We should place two green, three red, and two yellow cups side by side on the shelf. a) How many different ways of setting up can arise? b) How many different ways of arranging can arise if cups of the same color stand side by side?
- Numbers
How many different 4 digit natural numbers in which no digit is repeated can be composed of digits 0,1,2,3?
- Grouping - combinatorics
In how many different ways can 24 people be divided into: a) 6 groups of the same size. b) Groups of 5, 6, 7, and 6 people. c) Groups of 4, 5, 7, and 8 people.
- Chessboard 80533
How many ways can one white and one black square be selected on an 8x8 chessboard if the selected squares cannot lie in the same row or column?
- Classical 69634
Peter, Jano, Alice, and Rebecca attended a classical concert. How many different ways can they sit in the four free seats if Rebecca wants to sit with John?
- Different 68064
Anna painted eggs for art. She had five colors for her eggs. He wants to put three of them on each. How many different colored eggs could she paint? (It's just the colors, not the shapes on them. )
- Different 25431
Tickets have 9 numbered windows. How many different codes can be set for each other if 3 or 4 windows are punched?
- Necklaces 8006
Elena has four beads: yellow, two pink, and green. How many different colored necklaces can he create?
- People 7331
How many people must be in a group for at least two of them to be born in the same month?
- Football 5788
Tomas has four football jerseys: red, blue, white, and green. How many ways can Tomáš place them on the shelf next to each other so that the red and blue jerseys are adjacent?
- Three-digit 5226
How many different three-digit natural numbers can be created so that the digits are different and the last digit is 0?
- Three-digit 5093
How many can you create three-digit numbers from the numbers 1,3,5,7 if we must not repeat the numbers?
- Probability 3219
In recent years, it has rained 12 days in March. What is the probability that it rained on March 18?
- Married pairs
In how many ways can we seat five guests at a table, two of whom are married and want to sit next to each other?
- There 25
There are four red marbles and six blue marbles in a bag. What is the probability of picking up one blue marble and then one red marble? (assume that you keep the blue marble out of the bag)
- Three wagons
I have six different people (A, B, C, D, E, F), which I have to place into three wagons if it depends on who will board. How many options are there?
- Coffe cups
We have 4 cups with four different patterns. How many possible combinations can we create from 4 cups?
- Four-digit numbers
How many four-digit numbers can we make from the numbers 2, 6, 3, 5, 1, and 9 if we cannot repeat the numbers in the number?
- Birth
Let's assume that the probability of the birth of a boy and a girl in the family is the same. What is the probability that the youngest and oldest child in a family with five children is a boy?
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