Combinatorics - math word problems - page 22 of 54
Number of problems found: 1079
- Pupils
Four pupils are going via the dark hall. Start at one side and have to get to the other side for 17 minutes. They have only one lamp for the trip. The corridor is narrow. They can go up two pupils at a time and at a slower speed. Each pupil went different - Nursing school
The following table shows 1000 nursing school applicants classified according to scores made on a college entrance examination and the quality of the high school from which they graduated, as rated by a group of educators: Quality of High Schools Score; - Squares above sides
In a right triangle, the areas of the squares above its sides are 169, 25, and 144. The length of its longer leg is: - Five letters
How many ways can five letters be arranged? - Shooters
In the army, regiments are piati shooters. The first shooter target hit with a probability of 42%, next with 40%, 21%, 58%, 67%. Calculate the probability of target hit when shooting all at once. - Possibilities 5058
Adamko is two years old and does not want to clean his toys. One night, the toy fairy came to his room and saw legos, a police car, blocks, and a train lying on the floor. The fairy decided to take 3 toys from Adamko. How many choices does a trio of toys - Single-colored
Diana is going to a party. She can't decide what to wear. She has 4 T-shirts (white, blue, pink, and purple) and 5 skirts (black, white, pink, green, and brown) to choose from. In how many different ways can she combine the T-shirt and skirt if she doesn' - Monty Hall
Suppose you're on a game show and have the choice of three doors: Behind one door is a car; behind the others, goats. You pick a door, say No. 1, and the host, who knows what's behind the doors, opens another door, say No. 3, which has a goat. What is the - Wedding guests
Fifteen wedding guests could not agree on who would stand in the wedding photo. The groom suggested that all possible sets of wedding guests be made in the photographs. - Other
On other days, I often see two colors in front of my eyes - blue and yellow. I feel sad about what is happening. That is why I have a role for you today about colors. I have 5 markers in my pencil case: blue, yellow, green, red, and purple. How many ways - Owner of the company
The company's owner, with extensive administrative activity, wants to sell the obsolete three machines at the price of CZK 1000 per 1 machine with a six-month warranty period. If the machine breaks down during this period, the owner will return the employ - Possibilities 5822
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 - Wagons
We have six wagons: two white, two blue, and two red. We assemble trains from them; wagons of the same color are exactly the same, so if we change only two white wagons on a train, it's still the same train because I don't know any difference. How many di - Three reds
What is the probability that all three of the seven cards will be red if three cards are drawn? - Bouquets
The flower shop sells roses, tulips, and daffodils. How many different bouquets of five flowers can we make? - Arrangements 4459
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. Thank you - Different 79704
Thirty-two boys and 34 girls came to the dance. How many different dance pairs can they make, given that each team is given: they can only dance for 1 minute and then take turns in 5 seconds? Calculate how long the dance evening would last for all the pai - The flag
The flag should consist of 3 different-colored stripes—available colors are white, red, blue, green, and yellow. Specify: A) number of all flags B) number of flags with a blue stripe C) number of flags with a blue stripe in the middle D) the number of fla - Combinatorics
In how many different ways can we seat three people on three chairs, four on four, five on five, and six on six chairs? Find common properties when selecting objects from the point of view of combinatorics. Find out the principle of calculating all possib - In the orchard
They planted 25 apple trees, 20 pears, 15 plums, and 40 marbles in the orchard. An intense late frost, however, destroyed a fifth of all new trees. Unfortunately, it was all the trees of one kind of fruit. What is the probability that the plums have died
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