# Permutations + factorial - math problems

#### Number of problems found: 26

• Permutations without repetition
From how many elements, we can create 720 permutations without repetition?
• Elements
If the number of elements is decreased by two the number of permutations is decreased 30 times. How many elements are?
• VCP equation
Solve the following equation with variations, combinations and permutations: 4 V(2,x)-3 C(2,x+ 1) - x P(2) = 0
• Possible combinations - word
How many ways can the letters F, A, I, R be arranged?
• Word
What is the probability that a random word composed of chars E, Y, G, E, R, O, M, T will be the GEOMETRY?
• Playing cards
How many possible ways are to shuffle 7 playing cards?
• Vans
In how many ways can 9 shuttle vans line up at the airport?
• Shelf
How many ways are there to arrange 6 books on a shelf?
• Seating
How many ways can 6 people sit on 6 numbered chairs (e. g. , seat reservation on the train)?
• Olympics
In how many ways can be placed 6 athletes on the podium at the Olympics? Depend on the color of the metal.
• Numbers
How many different 3 digit natural numbers in which no digit is repeated, can be composed from digits 0,1,2?
• Kids
How many different ways can sit 8 boys and 3 girls in line if girls want to sit on the edge?
• Combinations of sweaters
I have 4 sweaters two are white, 1 red and 1 green. How many ways can this done?
• Coffe cups
We have 4 cups with 4 different patterns. How many possible combinations can we create from 4 cups?
• 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?
• Boys and girls
There are eight boys and nine girls in the class. There were six children on the trip from this class. What is the probability that left a) only boys b) just two boys
• Classroom
Of the 26 pupils in the classroom, 12 boys and 14 girls, four representatives are picked to the odds of being: a) all the girls b) three girls and one boy c) there will be at least two boys
• School trip
The class has 19 students. What different ways students can be accommodated in the hostel, where available 3× 2-bed, 3× 3-bed and 1× 4-bed rooms. (Each room has its unique number)
• Three workplaces
How many ways can we divide nine workers into three workplaces if they need four workers in the first workplace, 3 in the second workplace and 2 in the third?
• Lunch
Seven classmates go every day for lunch. If they always come to the front in a different order, will be enough school year to take of all the possibilities?

Do you have an interesting mathematical word problem that you can't solve it? Submit a math problem, and we can try to solve it.

We will send a solution to your e-mail address. Solved examples are also published here. Please enter the e-mail correctly and check whether you don't have a full mailbox.

Please do not submit problems from current active competitions such as Mathematical Olympiad, correspondence seminars etc...

See also our permutations calculator. Permutations - math word problems. Factorial - math word problems.