Multiplication principle - practice problems - page 4 of 31
Number of problems found: 609
- 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? - Five-digit number creation
How many 5-digit numbers can we create from the number 1,2,3,4,5 if the one's place is to have the number 5? (digits must not be repeated.) - Five-digit different digits Determine the number of all five-digit natural numbers in which every two digits are different in decimal notation.
- 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? - Rectangle and squares
A 9 cm × 15 cm rectangle is divided into unit squares. How many paths are there from one rectangle vertex to the opposite vertex if one can only go to the right and up the sides of the squares? - 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: - Eight-member team
We play a golf tournament where 4 pairs from team A will always play against 4 pairs from team B. Each team thus has in total 8 members. We tried to find out how many possible combinations there are of 4 playing groups, where in each there are 2 pairs – f - We randomly We randomly select a three-digit number. What is the probability that the number 8 occurs at most once in its notation?
- 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. - Question knowledge probability
You will learn 50% of the 30 questions. If I get 4 questions, I'll know 3. - Heptagon triangle probability
We randomly select three different points from the vertices of a regular heptagon and connect them with line segments. The probability that the resulting triangle will be isosceles is equal to: (A) 1/3 (B) 2/5 (C) 3/5 (D) 4/7 - Consecutively numbers How many ways are there to arrange the numbers 3, 2, 15, 8, and 6 so that the even numbers are arranged in ascending order (not necessarily consecutively)?
- Dice even probability
We roll the dice three times. Calculate the probability of getting an even number on the first, second, or third toss. - Cube tower ways
How many ways can a tower of five yellow and four blue cubes be built so that each yellow cube is adjacent to at least one other yellow cube? Yellow cubes are indistinguishable, and so are blue cubes. - Five-digit digit probability What is the probability that each digit is different in a five-digit number?
- Meeting handshake count
After the meeting, all participants shook hands with each other - a total of 105 times. How many people were there at the meeting?
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