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The number of parallelograms that can be formed from a set of four parallel lines intersecting another set of three parallel lines is ______. - Mathematics

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प्रश्न

The number of parallelograms that can be formed from a set of four parallel lines intersecting another set of three parallel lines is ______.

विकल्प

  • 6

  • 18

  • 12

  • 9

MCQ
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उत्तर

The number of parallelograms that can be formed from a set of four parallel lines intersecting another set of three parallel lines is 18.

Explanation:

We know that to form a parallelogram, we require a pair of lines from a set of 4 lines and another pair of lines from another set of 3 lines

∴ Required numbers of parallelograms = 4C2 × 3C2

= 6 × 3

= 18

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अध्याय 7: Permutations and Combinations - Exercise [पृष्ठ १२५]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 11
अध्याय 7 Permutations and Combinations
Exercise | Q 34 | पृष्ठ १२५

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