AP EAMCET · Maths · Permutation Combination
A set of 10 parallel lines is intersected by another set of \(m\) parallel lines. If the total number of parallelograms formed by these two sets of lines is 675 . Then \(m\) is equal to
- A \(15\)
- B \(10\)
- C \(12\)
- D \(6\)
Answer & Solution
Correct Answer
(D) \(6\)
Step-by-step Solution
Detailed explanation
Given, 10 parallel lines and \(m\) parallel lines since one parallelogram can be formed by the intersection on one pair of parallel lines with another pair of another set of parallel lines. \(\therefore\) Number of parallelograms \(={ }^{10} C_2 \cdot{ }^m C_2\)…
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