Combinatorics - math word problems - page 25 of 57
Number of problems found: 1135
- Three dice
The player throwing the three dice asked G. Galilei: "Should I bet on the sum of 11 or the sum of 12?" What did Galilei answer him? Hint: write down all three triples of numbers that can be thrown, have a total of 11, have a total of 12, and compare proba - Sum or product
What is the probability that two dice fall will have the sum of seven or product 12? - 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. - Competition Prize Places
How many ways can you be rewarded in the 1st, 2nd, or 3rd place? What is the prize for 15 participants in the competition? - Twin cinema seating
Twins Ela and Nell came to the cinema together with their friend Hela. Only the first 10 seats in the third row are free. How many ways can they be seated if the twins want to sit next to each other, with Nell always to Ela's left and Hel right next to on - Student pair selection
The coach must choose two students from Sam, George, Emma, Dan, and Nika to go to the competition. He knows them well and knows that Samo will only go with George or Emma, and Dan will not go with Emma. How many pairs does the trainer have to choose from? - Numbered
In the past, passengers on public transport validated single-use tickets that had 9 numbered boxes, a certain number of which were punched with a validator. A) In how many different ways could a ticket be validated if 3 boxes were punched? B) In how many - A license
A licence plate has three letters followed by four digits. Letters may not be repeated, but digits may be repeated. If plates are issued at random, what is the probability that the three letters are in alphabetical order and the four digits are consecutiv - Five letters
How many ways can five letters be arranged? - Bicycle Gear Options
Peter got a new bike for his birthday. His bike was equipped with many gears. How many gear options does Peter have if you have three wheels at the front and eight wheels at the back? List them all - Drug cure probability
The drug successfully treats the disease in 96% of cases. Your doctor will treat 50 patients with this medicine. What number of cures is most likely? - Menu choices
The dining room offers three types of soups and four types of main courses. How many ways can we choose soup and the main course? - 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 - Family trip
Dulikovci, Elikovci, Filikovci, and Galikovci visited each other often last month. Each family visited each family exactly once. How many visits did all four families make together? If two families came to visit one family simultaneously, count it twice. - Lotto ticket jackpot
Determine how many different ways a Lotto ticket can be written if we guess six numbers out of 49. At what Jackpot would it already pay to bet so many tickets to be guaranteed to win the 1st prize? The price of one type is €1. - Tournament placement ways
Twelve men and four women attended the chess tournament. How many different women's placements can be in the tournament's final table if no two participants have scored the same number of points? - Planting of flower beds
A gardener has to plant three flower beds, each with just one kind of plant. The number of possibilities to plant these 3 flower beds with three different kinds of plants is 133 less than the number of possibilities to plant these beds with at most three - Probability of Encyclopedia
The shelf contains 27 atlases, 29 dictionaries, eight textbooks, and 16 encyclopedias. What is the probability that a randomly selected book from this shelf is an encyclopedia? Give the result as a percentage. - One dice
Calculate the probability of one dice roll with the numbers 1, 2, 3, 4, 5, and 6 on the walls. Write the results in a notebook in the shape of a fraction in the basic form: 2/3. a, The number 1 falls on the cube. b, The number 5 falls on the cube. c, An e - Symbolo cards
Peter got a card game for his birthday. On each card there are three symbols. For the cards and symbols the following rules apply: • each symbol is on three cards, • each two cards have exactly one common symbol, • for each pair of symbols, a card can be
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