Aspire Faculty ID #16714 · Topic: CUET 2023 · Just now
CUET 2023

Given below are two statements: One is labelled as Assertion A and the other is labelled as Reason R.

Assertion A:
The number of parallelograms in a chessboard is 1296.

Reason R:
The number of parallelograms when a set of $m$ parallel lines is intersected by another set of $n$ parallel lines is
$\displaystyle {m \choose 2}{n \choose 2}$.

In the light of the above statements, choose the correct answer from the options given below:

Solution

A chessboard has 9 vertical and 9 horizontal parallel lines. Number of parallelograms $={9 \choose 2}{9 \choose 2} =36 \times 36 =1296$ So Assertion A is true. The given formula in Reason R is correct and is exactly used to find the result. So Reason R is true and correctly explains A.

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