Combinatorics - math word problems - page 27 of 55
Number of problems found: 1085
- Sweater
Dana confuses me by stating that sweaters and wool have a choice of seven colors. How many ways can she choose from three colors for the sleeves? - Combinations of sweaters
I have four sweaters: two white, one red, and one green. How many ways can you sort them out? - Concert seating ways
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? - Three-digit numbers
How many can you create three-digit numbers from the numbers 1,3,5,7 if we must not repeat the numbers? - Cube tower ways
How many ways can a tower of five yellow and four blue cubes be built so that each yellow cube is adjacent to at least one other yellow cube? Yellow dice are indistinguishable, and so are blue dice. - A married
A married couple planned to have three children. i. List the possible combinations of the sexes of 3 children. Use B for a boy and G for a girl. ii. Calculate the probability that all three children would be of the same gender - 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? - 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? - Hockey game
In the hockey game, they scored six goals. The Czechs played against Finland. The Czechs won 4:2. In what order did they fall goals? How many game sequences were possible during the game? - Phone numbers
How many 9-digit telephone numbers can be compiled from the digits 0,1,2,..,8,9 that no digit is repeated? - Ticket number probability
There are 100 tickets in a pocket with the numbers 1 to 100. What is the probability that we will randomly draw a ticket with a number starting with the number 5? - Dance couple arrangement
Six boys and six girls (among them Emil, Félix, Gertrude, and Hanka) want to dance. The number of ways they can make six (mixed) couples if Emil does not want to dance with Gertrude and Hanka wants to dance with Felix is? - Ticket code combinations
Tickets have 9 numbered windows. How many different codes can be set for each other if 3 or 4 windows are punched? - Triplets From Four Pupils
How many different triplets can be created from 4 pupils if it does not matter the order of the pupils in the triplets? - 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? - Arranging Adjacent Colors
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? - Dice probability
Jana rolls two dice at the same time. What is the probability that she will score a total of four points? - 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? - Dance party
At the dance party, the organizer discovered that 168 different dance pairs could be formed from girls and boys. How many boys are there at the dance if there are 12 girls? - 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)
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