Question

There is a building of $6$ floors.Four persons enter the lift in on the ground floor.Each of them can leave the cabin in any of the six floors beginning with first floor. In how many ways they can leave the lift.

• A. $4^6$
• B. $2420$
• C. $6^4$
• D. $24$

Answer 1

The correct option is C $6^4$

Number of Floors $=6$

Number of person $=4$

Each person has $6$ possible ways of getting off lift

The other person also has $6$ ways

Each of the $4$ people has $6$ ways

Therefore there are no restriction

Therefore Total number of ways

$\Rightarrow {\left(6\right)}^4$ Ways

Hence the correct answer is ${\left(6\right)}^4$