Multiplication principle - practice problems - page 9 of 28
Number of problems found: 542
- Probability 59073
A group of n people, including Jano and Fero, randomly line up. What probability will there be exactly r people (r - Round table
Find the number of ways in which eight 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 four black balls, four turquoise balls, and five gold balls in a row. - Possibilities 57821
How many different positions can there be in the first three places in the hockey world championship if 12 teams are playing in them? How many possibilities exist if we are only concerned with which teams will be on the podium?
- Different 57811
How many different 6-member teams can be made up of seven boys and four girls if there are two or four girls in the team? - Family trip
Dulikovci, Elikovci, Filikovci, and Galikovci visited each other often last month. Each family visited each family exactly once. How many visits did all four families make together? If two families came to visit one family simultaneously, count it twice. - The flag
The flag should consist of 3 different-colored stripes—available colors are 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 fla - The three
The three boys, Adam, Boris, and Cyril, will 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 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 indepe
- Right key
The hostel has 4 rooms. The keys to each room are not numbered. Each of the four guests took one key. What is the probability that everyone took the right key? - Three towns and roads
If there are three roads from town A to town B And four roads from town B to town C, 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 playing 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 there possi - Indistinguishable 48981
How many ways can we build eight indistinguishable towers on an 8 × 8 board so they don't endanger each other? - Different 48243
He has four types of pants. How many T-shirts does he have if he can dress 40 different ways?
- A married
A married couple planned to have three children. i. List the possible combinations of the sexes of 3 children. Use B for a boy and G for a girl. ii. Calculate the probability that all three children would be of the same gender - Committee 2
How many committees consisting of 3 women and two men can be formed from a group of 6 women and five men? - ID tag
How many three-digit ID-tag can be made if: a) a digit cannot be used more than once b) the 1st digit must be five, and repetition of the others is not permitted. - A department
There are seven women and five 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 one woman be selected? c) how many ways can a committee of at least two women be selected (3 people - Three wagons
I have six different people (A, B, C, D, E, F), which I have to place into three wagons if it depends on who will board. How many options are there?
We were tasked with throwing the dice until we hit the "six." a) Find the average number of throws we will have to make to complete the task. b) How many times do we have to roll the dice so that the probability of falling at least one "six" is at least 9Do you have homework that you need help solving? Ask a question, and we will try to solve it. Solving math problems.
