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: 127
- Combinations
If the number of elements increases by 3, it increases the number of combinations of the second class of these elements five times. How many are the elements? - There
There were 12 members on the commission. Five members were in favor, and seven members were against the proposal. In how many ways could it help the commission vote? - Equation: 4197
Solve the equation: (4096^x) · 8! = 161280 - 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 x and y values 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 white, one red, and one green. How many ways can you sort them 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
- Division
The division has 18 members: 10 girls, six boys, and two leaders. If one patrol has two boys, three girls, and one leader, how many different patrols can be created? - Football league
There are 16 teams in the football league. 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? Depends 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?
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?Do you have homework that you need help solving? Ask a question, and we will try to solve it. Solving math problems.
