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JEE MATHEMATICS MCQ: COMBINATIONS

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Application +4 | -1

In a plane, there are 37 straight lines, of which 13 pass through the point

A

and 11 pass through the point

B

. Besides, no three lines pass through one point, no line passes through both points

A

and

B

, and no two are parallel. Then the number of intersection points the lines have is equal to

View answer and explanation

Correct option: A

535

Option A (535) is correct because it accurately calculates the number of intersection points considering the lines passing through points A and B.

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A rectangle of dimension

m \times n

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n

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.

A

refuses to serve on the committee when Ms.

B

is a member of the committee, is A man has 7 friends. In how many ways he can invite one or more of them for a tea party? If

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

n