K-permutations + multiplication principle - practice problems - page 2 of 14
Number of problems found: 261
- Beads
We have 4 beads: one green, one yellow, and 2 pink. In how many possible ways can we string them onto a string? - In a football
In a football tournament of eight teams, where each team played each other exactly once, points were awarded as follows: the winner received 3 points, the loser received 0 points, and in the event of a draw, each team received 1 point. At the end of the t - Ways
There are 3 different roads from Lehota to Hradec and 4 different roads from Hradec to Buda. Determine the number of ways to choose a route from Lehota via Hradec to Buda and back, such that no road is used twice. - Customer 5
A customer decided to buy a Laura bed with a wooden slatted frame (available in 2 types) and an extra-firm mattress (available in 4 types) in one of three colours. Determine how many different combinations of the Laura bed with a wooden slatted frame and - Repeatition not allowed How many four-digit numbers can be formed from the digits 3, 5, 8, and 9 if no digit may be repeated?
- Grouping - combinatorics
In how many different ways can 24 people be divided into: a) 6 groups of the same size. b) Groups of 5, 6, 7, and 6 people. c) Groups of 4, 5, 7, and 8 people. - Probability - coin
When tossing a coin 4 times in a row, what is the probability that a sign will come up 3 times? - The Celebration
Five boys and five girls were nominated for a celebration at a local school. How many ways can the prom king, prom queen, and two other students be chosen from those nominated? (The king must be a boy, and the queen must be a girl) - A lottery In a lottery, a person chooses four different natural numbers at random from 1 to 10, and if these four numbers match the four numbers already fixed by the lottery committee, he wins the prize. What is the probability of winning the prize in the game? (Th
- Playmakers + coach
In a basketball game, two pivots, two wings, and one point guard play. The coach has three pivots, four wing players, and two playmakers available on the bench. How many different five players can a coach send to the board during a game? - Refrigerator, lemonades
How many possible ways can we store three lemonades, four mineral waters, and two juices in the refrigerator next to each other? - 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? - Probability - shelf
Ten books are placed randomly on one shelf. Find the probability that certain three books are placed next to each other. - Flag color combinations
How many 4 colored flags can be made from 5 colors so that each flag consists of three different colors? - 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 - Play match
A hockey match played for three periods ended with a score of 2:3. How many possibilities are there on how the given thirds could have been completed? - 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? - Monogram letter combinations
Calculate how many different monograms (short name and surname) I can make from the letters A, E, M, Z, and K. a) with repetition: b) without repetition: - Aquaristics
We consider 'words' (i.e., arbitrary strings of letters) obtained by rearranging the letters of the word 'AQUARISTICS'. All letters are treated as distinguishable from each other. The number of such words that also contain the string 'CAVA' (as consecutiv - Volleyball tournament teams The school volleyball tournament was played on a one-on-one basis. One match lasted 15 minutes, and 3 hours and 45 minutes were played. Calculate how many teams participated.
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