Party

At the party everyone clink with everyone. Together, they clink 406 times. How many people were at the party?

Correct result:

On party was:  29 people

Solution:

(n2)=406 n(n1)/2=406n>0  n2n812=0n>0  n=29 people\dbinom{ n}{ 2} = 406 \ \\ n(n-1)/2 = 406 \wedge n>0 \ \\ \ \\ n^2-n-812=0 \wedge n>0 \ \\ \ \\ n = 29 \ \text{people}



We would be pleased if you find an error in the word problem, spelling mistakes, or inaccuracies and send it to us. Thank you!






Showing 0 comments:
avatar




Tips to related online calculators
Looking for help with calculating roots of a quadratic equation?
Would you like to compute count of combinations?

Next similar math problems:

  • Graduation party
    dancers There are 15 boys and 12 girls at the graduation party. Determine how many four couples can be selected.
  • 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?
  • Average age
    age_4 The average age of all people at the celebration was equal to the number of people present. After the departure of one person who was 29 years old, average age was again equal to the number present. How many people were originally to celebrate?
  • The Hotel
    hotel-montfort-tatry-2_2 The Holiday Hotel has the same number of rooms on each floor. Rooms are numbered with natural numerals sequentially from the first floor, no number is omitted, and each room has a different number. Three tourists arrived at the hotel. The first one was in
  • Points in space
    roviny There are n points, of which no three lie on one line and no four lies on one plane. How many planes can be guided by these points? How many planes are there if there are five times more than the given points?
  • Table and chairs
    stolicky_skola_8 Four people should sit at a table in front of a row of 7 chairs. What is the probability that there will be no empty chair between them if people choose their place completely at random?
  • Combinations
    math_2 From how many elements we can create 990 combinations 2nd class without repeating?
  • Divide
    hrusky How many different ways can three people divide 7 pears and 5 apples?
  • Lines
    lines_1 In how many points will intersect 14 different lines, where no two are parallel?
  • Combinations
    trezor_1 How many elements can form six times more combinations fourth class than combination of the second class?
  • Quadratic function
    eq2_graph It is given a quadratic function y = -4x2+5x+c with unknown coefficient c. Determine the smallest integer c for which the graph of f intersects the x-axis at two different points.
  • 600 pencils
    fixy_2 600 pencils we want to be divided into three groups. The biggest groups have ten pens more than the smallest. How many ways can this be done?
  • VCP equation
    combinatorics3 Solve the following equation with variations, combinations and permutations: 4 V(2,x)-3 C(2,x+ 1) - x P(2) = 0
  • Three workshops
    workers_24 There are 2743 people working in three workshops. In the second workshop works 140 people more than in the first and in third works 4.2 times more than the second one. How many people work in each workshop?
  • Quadratic inequation
    eq2_8 If 5x + x² > 100, then x is not
  • Number 4
    numbers_3 Kamila wrote all natural numbers from 1 to 400 inclusive. How many times did she write the number 4?
  • Raffle
    tombola_3 There are 200 draws in the raffle, but only 20 of them win. What is the probability of at least 4 winnings for a group of people who have bought 5 tickets together?