QJEEAdv23Maacad: JEE Advanced 2023 Mathematics - Class 12 JEEAdv23Maacad Solution: Two distinct points are chosen randomly out of the points . Let …

Question

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Two distinct points are chosen randomly out of the points

A_1, A_2, \ldots, A_{49}

. Let

p

be the probability that they are friends. Then the value of

7 p

is :

Accepted Answer

Total number of ways of selecting 2 persons $={ }^{49} \mathrm{C}_2$

Number of ways in which 2 friends are selected $=6 \times 7 \times 2=84$

$7 P = \frac{84 \times 2}{49 \times 48} \times 7 = \frac{1}{2}$

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