BITSAT2018MathematicsPermutation and CombinationActual
If a parallelogram is cut by two sets of m lines parallel to its sides, then the number of parallelogram thus formed, is
Options
- AC 2 m × C 2 m
- B2 C 2 m + 2
- CC 2 m + 2 2
- DNone of these
Correct answer
C. C 2 m + 2 2
Step-by-step solution
The two sets of m parallel lines along with two sets of two parallel lines of the given parallelogram will form two sets of m + 2 parallel lines. Each parallelogram is formed by choosing two parallel lines from each of the above ∴ Total number of parallelograms = C 2 m + 2 × C 2 m + 2 = C 2 m + 2 2 Hence, option (c) is correct.