JEE MATHEMATICS MCQ: COMBINATIONS

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There are 18 points in a plane such that no three of them are in the same line except five points which are collinear. The number of triangles formed by these points is

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Correct option: B

806

Option B (806) is correct because we subtract the number of degenerate triangles formed by the collinear points from the total possible triangles.

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A rectangle of dimension

m \times n

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being odd) is divided into square of unit length by drawing horizontal and vertical lines. The number of rectangles having side of odd unit length is The number of ways selecting three numbers from 1 to 30, so as to exclude every selection of three consecutive number is: Team A consists of 7 boys and n girls and Team B has 4 boys and 6 girls. If a total of 52 single matches can be arranged between these two teams, when a boy plays against a boy and a girl plays against a girl, then n is equal to The number of ways choosing a committee of 4 woman and 5 men from 10 women and 9 men, if Mr.

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

, then

n

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