Question

A person have to send his marriage invitations to his $7$ friends. If he have only $3$ servants to carry them, in how many ways can he send the invitations

• A. $3^7$
• B. $7^3$
• C. $21$
• D. None of these

Answer 1

The correct option is A $3^7$

Number of friends $=7$

Number of servants $=3$

Each friend can recieve letter in $3$ ways

that is from either of three servants

Since there are seven friends

Number of ways

$\Rightarrow 3\times 3\times 3\times 3\times 3\times 3\times 3\Rightarrow {\left(3\right)}^7$

Therefore number of ways $={\left(3\right)}^7$