Factorial - practice problems - page 5 of 7
Number of problems found: 135
- Variations 5437
From how many elements can we create six times as many variations of the second class without repetition as variations of the third class without repetition?
- VCP equation
Solve the following equation with variations, combinations, and permutations: 4 V(2,x)-3 C(2,x+ 1) - x P(2) = 0
- Math logic
There are 20 children in the group. Every two children have a different name. Alena and John are among them. How many ways can we choose eight children to be among the selected A) was John B) was John and Alena C) at least one was Alena, John D) maximum o
- Salami
We have six kinds of salami, six of which have ten pieces, and one of which 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?
- Equation: 4472
Solve the equation: x!: 5 = 1008 The solution to the equation is a natural number.
- 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
- Calculate 4349
Calculate x: (x-1) over (x-2) + (x-2) over (x-4) = 4
- 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?
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