A gentleman has $6$ friends to invite. In how many ways can invitation cards be sent to them if the has three servants.

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Solution

For one friend he has $3$ servants to send the card.
For one person he can send it by $3$ ways.
So for $6$ person he can send it by
$3 \times 3 \times 3 \times 3 \times 3 \times 3 = 3^{6}$ ways

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A gentleman has 6 friends to invite. In how many ways can invitation cards be sent to them if the has three servants.

For one friend he has 3 servants to send the card.For one person he can send it by 3 ways.So for 6 person he can send it by3×3×3×3×3×3=36 ways

A gentleman has $6$ friends to invite. In how many ways can invitation cards be sent to them if the has three servants.

For one friend he has $3$ servants to send the card.
For one person he can send it by $3$ ways.
So for $6$ person he can send it by
$3 \times 3 \times 3 \times 3 \times 3 \times 3 = 3^{6}$ ways