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(D) Step $1$: The number of triangles formed by $n$ points on a circle is given by $^{n}C_3$. For $n=10$, number of triangles = $^{10}C_3 = \frac{10 \

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Statement $I$ is false and statement $II$ is true

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(D) Step $1$: The number of triangles formed by $n$ points on a circle is given by $^{n}C_3$. For $n=10$, number of triangles = $^{10}C_3 = \frac{10 	imes 9 	imes 8}{3 	imes 2 	imes 1} = 120$. Thus, Statement $I$ is false.Step $2$: The number of chords formed by $n$ points on a circle is given by $^{n}C_2$. For $n=10$, number of chords = $^{10}C_2 = \frac{10 	imes 9}{2} = 45$. Thus, Statement $II$ is true.Step $3$: Comparing the results, Statement $I$ is false and Statement $II$ is true.

$10$ distinct points are taken on a circle. Then using these points:
Statement $I$: The number of triangles that can be formed is $100$
Statement $II$: The number of chords that can be formed is $45$
Which of the following is correct?

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$10$ distinct points are taken on a circle. Then using these points:Statement $I$: The number of triangles that can be formed is $100$Statement $II$: The number of chords that can be formed is $45$Which of the following is correct?