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A gentle man wants to invite six friends...

A gentle man wants to invite six friends. In how many ways can he send invitation cards to them, if he has three servants to carry the cards.

A

`3^(6)`

B

`6^(3)`

C

18

D

none of these

Text Solution

Verified by Experts

Since a card can be sent by any one of the three servants, so the number of ways of sending the invitation card to the first friend =3. Similarly, invitation cards can be sent to each of the six friends in 3 ways.
`:.` Required number of ways `=3xx3xx3xx3xx3xx3=3^(6)`
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