Question Detail
Question
A gentleman has 6 friends to invite. In how many ways can he send invitation cards to them if he has three servants to carry the cards?
Correct Answer
Option C is the correct answer.
Detailed Explanation
Each of the 6 invitation cards can be assigned to any of the 3 servants. For the first card, there are 3 choices of servant. For the second card, there are also 3 choices, and so on, for all 6 cards. Since each card's assignment is independent, the total number of ways to send the cards is the product of the choices for each card: 3 * 3 * 3 * 3 * 3 * 3 = 3⁶ = 729.
Hint
Consider the number of choices for each card independently.