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# A gentleman has 6 friends to invite.

Question:

A gentleman has 6 friends to invite. In how many ways can be send invitation cards to them, if he has 3 servants to carry the cards?

Solution:

Given: A gentleman has 6 friends to invite. He has 3 servants to carry the cards.

Each friend can be invited by 3 possible number of servants.

So the number of ways of inviting 6 friends using 3 servants $=3 \times 3 \times 3 \times 3 \times 3 \times 3=3^{6}$