JEE MATHEMATICS MCQ: COMBINATIONS

1 Easy

1 of 1

Application +4 | -1

The straight lines

{I_1},{I_2},{I_3}

are parallel and lie in the same plane. A total numbers of

m

points are taken on

{I_1},n

points on

{I_2},k

points on

{I_3}

. The maximum number of triangles formed with vertices at these points is

View answer and explanation

Correct option: B

{\;^{m + n + k}}{C_3}{ - ^m}{C_3}{ - ^n}{C_3}{ - ^k}{C_3}

Option B (

{\;^{m + n + k}}{C_3}{ - ^m}{C_3}{ - ^n}{C_3}{ - ^k}{C_3}

) is correct because it subtracts the number of ways to choose 3 points on the same line from the total number of ways to choose 3 points.

More Questions from COMBINATIONS

Practice All Chapter MCQs →

m \times n

m

n

A

B

{\;^{n + 2}}{C_8}:{\;^{n - 2}}{P_4} = \frac{{57}}{{16}}

n