Combinatorics - math word problems - page 23 of 57
Number of problems found: 1135
- Cards 5
A thing into which you throw a coin and you can then look through it like through a telescope, contains an entire set of 81 Set cards. How many valid sets exist that contain at least one blue card? Sets is a card game. Each Set card has 4 properties: colo - Intersection of the lines
How many points do nine lines intersect in a plane, of which four are parallel, and of the other five, no two are parallel (and if we assume that only two lines pass through each intersection)? - Quality tester
Imagine that you are a quality manager on a production line assembling electrical appliances. Printed circuits are mounted into the appliances, and the functionality of the product depends on their flawlessness. The line is equipped with a tester - a cont - 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 - For the tournament 2
For the dodgeball tournament, 8 teams signed up, from which pairs were formed by draw. In the first round, each pair played one match. The winners played semifinal matches and the winners of the semifinals played the last, final match, which determined th - 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 a T-shirt and a 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 - Four 12
Four classmates (Ivan, Matej, Fero, Ľuboš), who go to school by the same tram connection, agreed that they would meet in the morning at the stop in front of the school. As they promised, so it happened. The first classmate arrived at the stop in front of - Shooters
In a regiment there are piati shooters. The first shooter hits the target with a probability of 42%, and the next with 40%, 21%, 58%, 67%%. Calculate the probability that the target is hit when all shooters fire simultaneously. - Toy choices
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 - In the orchestra
In the school orchestra four musicians play – one the violin, one the clarinet, one the cello, and one the trumpet. During a performance not always all four play at once. Sometimes only one instrument plays, sometimes two, sometimes three, and sometimes a - 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 - Combinatorial examples
1. In the class you have 15 pupils. In how many ways can we select four for examination? 2. In how many ways can we select from seven-card cards (32 cards) any two cards? 3. In how many ways can we divide 12 pupils into two six-member teams? 4. In how man - Three reds
What is the probability that all three of the seven cards will be red if three cards are drawn? - Nursing school
The following table shows 1,000 nursing school applicants classified by their college entrance exam scores and the quality of their high school: High School Quality / Score; Poor (P); Average (A); Superior (S); Total Low (L); 105; 60; 55; 220 Medium (M); - Other
On other days, I often see two colours before my eyes — blue and yellow. I feel sad about what is happening. That is why I have a task for you today about colours. I have 5 markers in my pencil case: blue, yellow, green, red, and purple. In how many ways - Pupil pair combinations
Without listing all the possibilities, calculate how many different pairs can be made A) of 12 pupils who want to go down a water slide on a two-seater inflatable in the water park. B) of 15 pupils who want to ride toy cars in the amusement park. - Socks
Ben's favorite colors are blue and green. He has six blue socks and six green socks in his sock drawer. Unfortunately, they are completely mixed up, and one day, he has to grab some socks to wear in complete darkness. How many socks (minimum) does he have - 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 - At Junior's
A pizzeria offers pizza with tomato and cheese as a base. If a customer wishes, they may add toppings from the following options: ham, mushrooms, corn, and onion, each ingredient at most once. Every pizza is available in three sizes: small, medium, and la
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