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If 20 points are marked on a circle, how many chords can be drawn? - Mathematics and Statistics

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प्रश्न

If 20 points are marked on a circle, how many chords can be drawn?

बेरीज

उत्तर

There are 20 points on a circle.

To draw a chord, 2 points are required.

∴ the number of chords that can be drawn through 20 points on the circle

= 20C2

= `(20!)/(2!18!)`

= `(20 xx 19 xx 18!)/(2 xx 1 xx 18!)`

= 190.

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Properties of Combinations
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 3: Permutations and Combination - Exercise 3.6 [पृष्ठ ६५]

APPEARS IN

बालभारती Mathematics and Statistics 2 (Arts and Science) [English] 11 Standard Maharashtra State Board
पाठ 3 Permutations and Combination
Exercise 3.6 | Q 10 | पृष्ठ ६५

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