Combinatorics - math word problems - page 28 of 57
Number of problems found: 1135
- Dice color probability
In an opaque box, identical cubes of different colors: 15 are red, 8 are blue, and 7 are green. We successively drew 10 red, 4 blue, and 3 green dice. What is the probability that we draw a red die from the remaining dice in the next roll? - Race second probability
Five competitors took part in the race. Jerry was disappointed that he didn't win. Before announcing second place, he calculated the probability of finishing second. What number did he get if he counted correctly? - Natural number creation
How many natural numbers can you make from the digits in 4052? No digit may be repeated in the number entry. Sort the numbers in ascending order of size. - 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? - Number pairs
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. - Class arrangements
There are 4 classrooms on the ground floor of the school building, which are numbered 1,2,3,4. First-year students A, B, C, and D will be placed in these classrooms. Write all possible class arrangements and their number. - Combinations of sweaters
I have four sweaters: two white, one red, and one green. How many ways can you sort them out? - 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 formed from the digits 0, 1, 2, ..., 9 if no digit is repeated? - 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? - 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? - 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) - Egg color combinations
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. ) - 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 - Five-Digit Numbers Adjacent Digits
How many five-digit numbers can you create from the numbers 1,2,3,4,5,6 if 1 and 2 must always be next to each other? We cannot repeat the digits. - Three workplaces
How many ways can we divide nine workers into three workplaces if they need four workers in the first workplace, 3 in the second workplace, and 2 in the third? - Bench seating arrangements
Five friends want to sit on one bench. How many ways can this be done if one of them always sits in the middle of the bench? - To improve
To improve her handwriting, Paula practices writing the numbers 1 to 200 in words. How often will she have written the word "one" in all?
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