2nd class variations

From how many elements you can create 2450 variations of the second class?

Correct answer:

n =  50

Step-by-step explanation:

V2(n)=2450 n∗(n−1)=2450  n⋅ (n−1)=2450 n2−n−2450=0  a=1;b=−1;c=−2450 D=b2−4ac=12−4⋅1⋅(−2450)=9801 D>0  n1,2=−b±D2a=1±98012 n1,2=1±992 n1,2=0.5±49.5 n1=50 n2=−49   Factored form of the equation:  (n−50)(n+49)=0  n>0 n=n1=50

Our quadratic equation calculator calculates it.


Try another example


We will be pleased if You send us any improvements to this math problem. Thank you!






avatar




Tips to related online calculators
Looking for help with calculating roots of a quadratic equation?
See also our variations calculator.
Do you have a linear equation or system of equations and looking for its solution? Or do you have a quadratic equation?
Would you like to compute count of combinations?

You need to know the following knowledge to solve this word math problem:

Related math problems and questions:

  • 2nd class combinations
    color_circle From how many elements you can create 4560 combinations of the second class?
  • Combinations
    math_2 From how many elements we can create 990 combinations 2nd class without repeating?
  • Variations 3rd class
    cubic From how many elements we can create 13,800 variations 3rd class without repeating?
  • Combinations
    trezor_1 How many elements can form six times more combinations fourth class than combination of the second class?
  • Variations
    pantagram Determine the number of items when the count of variations of fourth class without repeating is 42 times larger than the count of variations of third class without repetition.
  • Class pairs
    pair_1 In a class of 34 students, including 14 boys and 20 girls. How many couples (heterosexual, boy-girl) we can create? By what formula?
  • Elements
    fact_1 If the number of elements is decreased by two the number of permutations is decreased 30 times. How many elements are?
  • Three digits number
    3digit From the numbers 1, 2, 3, 4, 5 create three-digit numbers that digits not repeat and number is divisible by 2. How many numbers are there?
  • Combinations
    kvadrat_3 If the number of elements increase by 3, it increases the number of combinations of the second class of these elements 5 times. How many are the elements?
  • Variations 4/2
    pantagram_1 Determine the number of items when the count of variations of fourth class without repeating is 600 times larger than the count of variations of second class without repetition.
  • Prize
    metals_1 How many ways can be rewarded 9 participants with the first, second, and third prizes in a sports competition?
  • PIN - codes
    pin How many five-digit PIN - code can we create using the even numbers?
  • Numbers
    numbers_3 How many different 3 digit natural numbers in which no digit is repeated, can be composed from digits 0,1,2?
  • Coffe cups
    hrnceky We have 4 cups with 4 different patterns. How many possible combinations can we create from 4 cups?
  • Practice
    telocvik How many ways can you place 20 pupils in a row when starting on practice?
  • Combinatorics
    fontains The city has 7 fountains. Works only 6. How many options are there that can squirt ?
  • Divisible by five
    numbers2_14 How many different three-digit numbers divisible by five can we create from the digits 2, 4, 5? The digits can be repeated in the created number.