Multiplication principle - practice problems - page 3 of 29
Applications:- Probability (counting sample spaces).
- Combinatorics (counting arrangements).
- Computer science (algorithm complexity, password security).
This principle is essential for solving problems where multiple decisions are made in sequence.
Number of problems found: 579
- Target - shooting
A shooter hits the target with a probability of 78%. Determine the probability that, in a competition where 3 shots are fired in a row, he misses only the first shot. Round the result to two decimal places. - Customer 5
The customer decided to buy a Laura bed with a wooden slatted frame (2 types) and an extra firm mattress (4 types) in one of three colors. Determine how many different variations of the Laura bed with a wooden slatted frame and an extra firm mattress can - Repeatition not allowed How many four-digit numbers can be formed from the numbers 3 5 8 9 if they are not allowed to 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
- Product 3DN How many three-digit numbers are there whose product of digits is 5?
- Distances 83452
For shorter distances, small train sets are marked with three different letters from the company name run; how many small sets can be marked like this? - 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 - coloured balls The cube has 6 blue, 8 red, and 10 green balls. The player randomly draws 3 balls. Determine the probability that he draws balls of the same color.
- Probability 83133
The mobile PIN has 4 characters. What is the probability that the PIN contains the number 7 and ends with the number 5? - Different 82982
How many different ways can Milka, Peter, Joseph, and Renata sit next to each other in the cinema if Milka always sits in seat number 1 and Peter always sits in seat number 4? List all options.
- Probability - shelf
Ten books are placed randomly on one shelf. Find the probability that certain three books are placed next to each other. - Different 82447
How many 4 colored flags can be made from 5 colors so that each flag consists of three different colors? - 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? - Repeated 82330 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 82257 Determine the number of all five-digit natural numbers in which every two digits are different in decimal notation.
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