A man has 3 servants. The number of ways in which he can send invitation cards to 6 of his friends through the servants is:

3^{6}

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6^{3}

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\frac{6!}{3!}

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^{6} P_{3}

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Solution

The correct option is A $3^{6}$
Each of his friend can be sent a card by any of the three servants.
$∴$ Total number of ways $= 3 \times 3 \times 3 \times . . . . . (6 t i m e s)$ $= 3^{6}$

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A man has 3 servants. The number of ways in which he can send invitation cards to 6 of his friends through the servants is:

The correct option is A 36Each of his friend can be sent a card by any of the three servants.∴ Total number of ways =3×3×3×.....(6times)=36

The correct option is A $3^{6}$
Each of his friend can be sent a card by any of the three servants.
$∴$ Total number of ways $= 3 \times 3 \times 3 \times . . . . . (6 t i m e s)$ $= 3^{6}$