Multiplication principle + reason - practice problems
Number of problems found: 223
- Five couples
In how many ways can 5 couples arrange themselves in a row if they stay together? - A ferry
A ferry with a capacity of 10 people takes a group of 13 men and 7 women across a river. Find the number of ways in which the group may be taken across the if all women go on the first group. - 52 cards
A hand of five cards is dealt from a pack of 52 playing cards. How many different hands can be dealt that contain three aces? - Married 83309
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 83267
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 82744
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?
- Possibilities 82372
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 82257
Determine the number of all five-digit natural numbers in which every two digits are different in decimal notation. - Discovered 82210
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 82087
A 9cm × 15cm 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? - Repetition: 82003
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:
- We randomly
We randomly select a three-digit number. What is the probability that the number 8 occurs at most once in its notation? - Questions 81676
You will learn 50% of the 30 questions. If I get 4 questions, I'll know 3. - Probability 81637
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)? - Indistinguishable 81481
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 dice are indistinguishable, and so are blue dice.
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