Permutations + factorial - practice problems - page 3 of 4
Number of problems found: 68
- Permutations 6450
Seven times the permutations of n elements equal one-eighth of the permutations of n + 2 elements. What is the number of elements? - Desks
A class has 20 students. The classroom consists of 20 desks, with four desks in each of 5 different rows. Amy, Bob, Chloe, and David are all friends and would like to sit in the same row. How many possible seating arrangements are there such that Amy, Bob - VCP equation
Solve the following equation with variations, combinations, and permutations: 4 V(2,x)-3 C(2,x+ 1) - x P(2) = 0 - Salami
We have six kinds of salami that have ten pieces and one kind of salami that has four pieces. How many ways can we distinctly choose five pieces of salami?
- Elements
If the number of elements is decreased by two, the number of permutations is decreased 30 times. How many elements are? - Arrangements 4459
There are 4 classrooms on the ground floor of the school building, which are numbered 1,2,3,4. First-year students A, B, C, and D will be placed in these classrooms. Write all possible class arrangements and their number. Thank you - There
There were 12 members on the commission. In the vote, five members were in favor, and seven members were against the proposal. In how many ways could it help the commission vote? - Girlfriends 4107
Four girlfriends want to take a photo together. How many different ways can they stand side by side? - Fourland 3542
In Fourland, they only have four letters F, O, U, and R, and every word has exactly four letters. No letter may be repeated in any word. Write all the words that can be written with them.
- Permutations without repetition
From how many elements can we create 720 permutations without repetition? - Combinations of sweaters
I have four sweaters, two are white, one red and one green. How many ways can you sort it out? - Left-handed 2571
Eva, Lucia, Barbora, Ivana, and Slávka are good friends, so they always want to sit at one long table next to each other in biology class. How many ways can they sit if Slavka is left-handed and, therefore, always wants to sit on the left side of the tabl - Neighborhood
I have 7 cups: 1 2 3 4 5 6 7. How many opportunities for standings cups are there if 1 and 2 are always neighborhood? - Olympics
How many ways can six athletes be placed on the podium at the Olympics? Depend on the color of the metal.
- Hockey players
After we cycle, five hockey players sit down. What is the probability that the two best scorers of this crew will sit next to each other? - Numbers
How many different 3 digit natural numbers in which no digit is repeated can be composed of digits 0,1,2? - Shelf
How many ways are there to arrange 6 books on a shelf? - Kids
How many different ways can sit 8 boys and 3 girls in line if girls want to sit on the edge? - Vans
In how many ways can 5 shuttle vans line up at the airport?
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