# Reason + multiplication principle - practice problems

#### Number of problems found: 90

- Even five-digit

How many even five-digit natural numbers with different digits can be created from the digits 0 - 6? - Tv dinner tray

I'm trying to calculate total possible unique potential combinations, but I'm trying to solve for a tv dinner tray with 4 little sections for one each of: meat, veggie, starch, dessert. What makes this more complex is we have different types of meats/vegg - Round table

Find the number of ways in which 8 people can be seated at a round table, such that 2 of them always sit together. - Balls in row

Calculate the number of ways of placing 4 black balls, 4 turquoise balls and 5 gold balls in a row. - The three

The three boys Adam, Boris and Cyril are to be taken on a two-seater ski lift. How many different removal options are there? What would it be like if four boys or five were to be taken away? - Three towns and roads

If there are 3 roads from town A to town B And 4 roads from town B to town C, in how many ways can one go from town A to town C and back to town A, through town B, without passing through the same road twice? - Hockey Championships

At the 2021 World Hockey Championships, there are eight teams in Group A, each of which plays seven matches. There are 4 points for each team to gain points (3-2-1-0), but it is always paired with the opponent's points ( 0-1-2-3). How many points are ther - A married

A married couple planned to have 3 children. i. List the possible combinations of the sexes of 3 children. Use B for boy and G for girl. ii. Calculate the probability that all three children would be of the same gender - Three wagons

I have 6 different people (A, B, C, D, E, F), which I have to place into 3 wagons, if it depends on who will board. How many options are there? - A bag

A bag contains 9 blue marbles and 1 green marble. What is the probability of drawing a blue marble followed by a green marble, without replacing the first marble before drawing the second marble. - We roll

We roll two dice A. - what is the probability that the sum of the falling numbers is at most 4 B. - is at least 10 C. - is divisible by 5? - Two dice

We roll two dice. What is the probability that the sum of the falling numbers is greater than 3? - Exchange € 100

Find out how many ways you can exchange € 100 if you have an unlimited number of 50, 20, 10 and 5 euro banknotes. Use a method other than listing all options systematically. - Karolína

Karolína chose 5 bodies from the kit - white, blue and gray cubes, a blue cylinder and a white triangular prism. How many different roof towers can be built one by one if all the blue bodies (cube and cylinder) are not placed on top of each other? - A license

A license plate has 3 letters followed by 4 numbers. Repeats are not allowed for the letters, but they are for the numbers. If they are issued at random, what is the probability that the 3 letters are in alphabetical order and the 3 numbers are consecutiv - Number 4

Kamila wrote all natural numbers from 1 to 400 inclusive. How many times did she write the number 4? - Two-element combinations

Write all two-element combinations from elements a, b, c, d. - Big numbers

How many natural numbers less than 10 to the sixth can be written in numbers: a) 9.8.7 b) 9.8.0 - Tournament

How many matches will be played in a football tournament in which there are two groups of 5 teams if one match is played in groups with each other and the group winners play a match for the overall winner of the tournament? - Four-digit numbers

How many four-digit numbers can we make from the numbers 2, 6, 3, 5, 1 and 9 if the numbers in the number cannot be repeated?

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Reason - practice problems. Multiplication principle - practice problems.