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 $=3 \times 3 \times 3 \times 3 \times 3 \times 3=3^{6}$