# Factorial - practice problems - page 5 of 7

The factorial of the number n is the product of the first n natural numbers. For example 6! (we read 6 factorial) is 1*2*3*4*5*6 = 720.

#### Number of problems found: 123

- Determine 4132

Determine the value of x in this equation: x! · 4 = x³. x is a natural number. - Girlfriends 4107

Four girlfriends want to take a photo together. How many different ways can they stand side by side? - Expression: 4085

Determine the value of x and y in the expression: x! · 10^y = 0.0504. - Value

Find the value of the expression: 6!·10^{-3}

- Expression: 4017

Specify the value of this expression: 4! · 2^{-5} - 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. - Prize

How many ways can 9 participants be rewarded with the first, second, and third prizes in a sports competition? - Permutations without repetition

From how many elements can we create 720 permutations without repetition? - Repetitions 2956

How many elements do we have if the variation of the third class without repetitions is ten times more than the variation of the second class?

- 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 - Football league

In the football league is 16 teams. How many different sequences of results may occur at the end of the competition? - 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.

- Friends in cinema

5 friends went to the cinema. How many possible ways can they sit in a row if one of them wants to sit in the middle and the remaining place does not matter? - 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? - Combi-triangle

Each square side is marked 10 different points outside the square's vertices. How many triangles can be constructed from this set of points, where each vertex of the triangle lies on the other side of the square? - Numbers

How many different 3 digit natural numbers in which no digit is repeated can be composed of digits 0,1,2? - Seating rules

In a class are 24 seats but in the 7.B class are only 18 students. How many ways can students sit? (The class has 12 benches. A bench is for a pair of students.) Result (large number) logarithm and thus write down as powers of 10.

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