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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
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उत्तर

To draw a chord we need to join two points on the circle.
There are 20 points on the circle.
∴ We can draw 20C2 chords of the circle.

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

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

= `(20 xx 19xx18!)/(2xx1xx18!)`

= 190
190 chords can be drawn.

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Properties of Combinations
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 6: Permutations and Combinations - Exercise 6.6 [पृष्ठ ९०]

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बालभारती Mathematics and Statistics 2 (Commerce) [English] 11 Standard Maharashtra State Board
पाठ 6 Permutations and Combinations
Exercise 6.6 | Q 10 | पृष्ठ ९०

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