Points in plane

The plane is given 12 points, 5 of which is located on a straight line. How many different lines could by draw from this points?

Correct result:

n =  57

Solution:

C2(7)=(72)=7!2!(72)!=7621=21  n=(72)+5 7+1=21+5 7+1=57



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
Would you like to compute count of combinations?

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

Next similar math problems:

  • Lines
    lines_4 How many lines can be draw with 8 points, if three points lie on one line and the other any three points do not lie on the same line?
  • Circles
    circles How many different circles is determined by 9 points at the plane, if 6 of them lie in a straight line?
  • 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?
  • Lines
    lines_1 In how many points will intersect 14 different lines, where no two are parallel?
  • Straight lines
    kruh.JPG Draw two lines c, d so that c || d. On line c mark points A, B, from point A start perpendicular to line c, from point B perpendicular to line c.
  • Three points
    fun2 Mark three points E, F and G in the plane not lie on one line. a) Draw a line segment FG b) Construct halfline (ray) EG c) Draw a line EF
  • Count of triangles
    SquareTriangle Given a square ABCD and on each side 8 internal points. Determine the number of triangles with vertices at these points.
  • Line
    negative_slope Straight-line passing through points A [-3; 22] and B [33; -2]. Determine the total number of points of the line in which both coordinates are positive integers.
  • Draw it!
    drawing_geometry Draw two lines c, d that c || d. On line c mark the points A, B. By point A lead perpendicular line to c. By point B lead perpendicular line to c.
  • Hockey
    hokej Hockey match ended 8:2. How many different matches could be?
  • Sum or product
    dice_6 What is the probability that two dice fall will have the sum 7 or product 12?
  • Graduation party
    dancers There are 15 boys and 12 girls at the graduation party. Determine how many four couples can be selected.
  • Parallels and one secant
    lines_parallel_crossing There are two different parallel lines a, b and a line c that intersect the two parallel lines. Draw a circle that touches all lines at the same time.
  • Dice
    dices2_4 We throw five times the dice. What is the probability that six fits exactly twice?
  • First class
    prvni_jakost The shipment contains 40 items. 36 are first grade, 4 are defective. How many ways can select 5 items, so that it is no more than one defective?
  • Combinations of sweaters
    sveter I have 4 sweaters two are white, 1 red and 1 green. How many ways can this done?
  • Research in school
    numbers_1 For particular research in high school, four pupils are to be selected from a class with 30 pupils. Calculate the number of all possible results of the select and further calculate the number of all possible results, if it depends on the order in which th