K-permutations + multiplication principle - practice problems - page 5 of 14
Number of problems found: 261
- Dice snake colors
Hansel has 4 identical yellow blocks and 3 identical blue blocks. How many different coloured sequences (snakes) can he make with them? - Boy girl placement
Three boys and four girls. How many ways can they be placed side by side according to gender? - Element arrangement ways
Determine the number of arrangements of these six elements: a, a, a, b, b, c. - Ticket selection ways
A pocket contains six tickets numbered 1 to 6. In how many ways can 3 tickets be drawn one by one, in order, without replacing the drawn tickets? - Dance couple arrangement
Six boys and six girls (among them Emil, Felix, Gertrude, and Hannah) want to dance. The number of ways they can make six (mixed) couples if Emil does not want to dance with Gertrude and Hannah wants to dance with Felix is? - Wall paper
Suppose you want to paper your walls. Wallpapers are available in 4 different backgrounds colors with seven different designs of 5 different colors. In how many ways can you select your wallpaper? - Weekly student selection
There are 16 students in the class. If the teacher wants to choose two students who will be weekly, how many options does she have? - We are planting
We are planting 2 types of roses (white and red). Experience shows that the probability of a red rose taking root is 0.7. A total of 5 seedlings are planted. What is the probability that: a) the first 2 will be red and the next 3 white? b) all will be red - Couple train boarding
Ten married couples board the train, which has five cars. How many ways can they take if no two spouses want to be in the exact vehicle? - School group
There are five girls and seven boys in the group. They sit in a row next to each other. How many options if no two girls sit next to each other? - Tv dinner tray
I'm trying to calculate the total number of unique potential combinations, but I'm trying to solve for a TV dinner tray with four little sections each: meat, veggie, starch, and dessert. This is more complex because we have different types of meats/veggie - People lineup probability
A group of n people, including John and Frank, 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. - Hockey podium possibilities
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? - 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 - 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 - Tower board placement
How many ways can we build eight indistinguishable towers on an 8 × 8 board so they don't endanger each other? - 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
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