# Elements

If the number of elements is decreased by two the number of permutations is decreased 30 times. How many elements are?

Result

n =  30

#### Solution:

$P(n)=n! \ \\ P(n)=30 \ P(n-1) \ \\ n!=30 (n-1)! \ \\ n(n-1)!=30 (n-1)! \ \\ n=30$

Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!

Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):

Be the first to comment!

Tips to related online calculators
Do you have a linear equation or system of equations and looking for its solution? Or do you have quadratic equation?
Would you like to compute count of combinations?

## Next similar math problems:

1. Permutations without repetition
From how many elements we can create 720 permutations without repetition?
2. VCP equation
Solve the following equation with variations, combinations and permutations: 4 V(2,x)-3 C(2,x+ 1) - x P(2) = 0
3. Big factorial
How many zeros end number 116! ?
4. Linear imaginary equation
Given that ? "this is z star" Find the value of the complex number z.
5. Ball game
Richard, Denis and Denise together scored 932 goals. Denis scored 4 goals over Denise but Denis scored 24 goals less than Richard. Determine the number of goals for each player.
6. Theorem prove
We want to prove the sentence: If the natural number n is divisible by six, then n is divisible by three. From what assumption we started?
7. Median and modus
Radka made 50 throws with a dice. The table saw fit individual dice's wall frequency: Wall Number: 1 2 3 4 5 6 frequency: 8 7 5 11 6 13 Calculate the modus and median of the wall numbers that Radka fell.
8. Sequence
Between numbers 1 and 53 insert n members of the arithmetic sequence that its sum is 702.
9. Cards
How many ways can give away 32 playing cards to 5 player?
10. Equation
How many real roots has equation ? ?
11. Asymptote
What is the vertical asymptote of ?
12. Intercept with axis
F(x)=log(x+4)-2, what is the x intercept
13. Solve 3
Solve quadratic equation: (6n+1) (4n-1) = 3n2