Multiplication principle - high school - math problems
Number of problems found: 165
- Balls in row
Calculate the number of ways of placing 4 black balls, 4 turquoise balls and 5 gold balls in a row.
- The flag
The flag should consist of 3 different colored stripes. Available colors: white, red, blue, green and yellow. Specify: A) number of all flags B) number of flags with a blue stripe C) number of flags with a blue stripe in the middle D) the number of flags
- 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?
- An aircraft
An aircraft manufacturing company has submitted bids on two separate airline contracts, A and B. The company feels that it has a 70% chance of winning contract A and a 25% chance of winning contract B. Furthermore, it believes that winning contract A is i
- 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
- Committee 2
How many committee consisting of 3 women and 2 men can be formed from a group of 6 woman and 5 men?
- There 8
There are 7 women and 5 men in a department. a) how many ways can a committee of 3 people be selected? b) how many ways can a committee of 2 men and 1 woman be selected? c) how many ways can a committee of at least 2 woman be selected (3 people total)?
- 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.
- Created trio
What is the probability that in the created trio, which consists of 19 boys and 12 girls, they will be: a) the boys themselves b) the girls themselves c) 2 boys and 1 girl?
- In the
In the garden we want to plant 5 fruit trees, of which three are apple trees and two pears. How many different ways can we organize them?
- Permutations with repetitions
How many times the input of 22.214.171.124.3.3.4 can be permutated into 4 digits, 3 digits and 2 digits without repetition? Ex: 4 digits = 1223, 2213, 3122, 2313, 4321. . etc 3 digits = 126.96.36.1992. . etc 2 digits = 12, 21, 31, 23 I have tried permutation fo
- 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.
- The gems
The jeweler selects 4 gems for the ring. It has rubies, emeralds and sapphires. How many options does he have?
- The six
The six boys are to be led up the hill by a two-seater lift. How many options are there?
The father wants to plant 2 seedbeds of carrot and 2 seedbeds of onion. Use a tree chart to find how many different options for placing the seedbeds he has.
- Honored students
Of the 25 students in the class, 10 are honored. How many ways can we choose 5 students from them, if there are to be exactly two honors between them?
- 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
- School parliament
There are 18 boys and 14 girls in the class. In how many ways can 3 representatives be elected to the school parliament, if these are to be: a) the boys themselves b) one boy and two girls
Multiplication principle - math problems. Examples for secondary school students.