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Standard XII

Mathematics

Combination

A student has...

Question

A student has to answer 6 questions out of 10 questions. In how many ways he can choose the questions.

210

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424

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544

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Solution

The correct option is A 210
According to the question,
Number of ways of choosing $6$ from $10 =^{10} C_{6}$

$= \frac{10!}{6! 4!}$

$= \frac{10 \times 9 \times 8 \times 7}{4 \times 3 \times 2 \times 1}$

$= 210$

Hence, this is the answer.

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A student has to answer 6 questions out of 10 questions. In how many ways he can choose the questions.

The correct option is A 210According to the question,Number of ways of choosing 6 from 10=10C6=10!6!4!=10×9×8×74×3×2×1=210Hence, this is the answer.

The correct option is A 210
According to the question,
Number of ways of choosing $6$ from $10 =^{10} C_{6}$

$= \frac{10!}{6! 4!}$

$= \frac{10 \times 9 \times 8 \times 7}{4 \times 3 \times 2 \times 1}$

$= 210$

Hence, this is the answer.