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nCr Definitions and Properties

If X, Y, Z,...

Question

If $X, Y, Z, D, E$ and $F$ are $6$ distinct points on the circumference of a circle, find the number of different chords which can be drawn using any $2$ of the $6$ points.

6

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12

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15

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30

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36

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Solution

The correct option is C $15$
To draw a chord we choose any two points from given 6 points .
So
The answer required is $^{6} C_{2} = 15$

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If X,Y,Z,D,E and F are 6 distinct points on the circumference of a circle, find the number of different chords which can be drawn using any 2 of the 6 points.

The correct option is C 15To draw a chord we choose any two points from given 6 points .SoThe answer required is 6C2=15

If $X, Y, Z, D, E$ and $F$ are $6$ distinct points on the circumference of a circle, find the number of different chords which can be drawn using any $2$ of the $6$ points.

The correct option is C $15$
To draw a chord we choose any two points from given 6 points .
So
The answer required is $^{6} C_{2} = 15$