Question

Four persons enter the lift of a seven-storey building at the ground floor. In how many ways can they get out of the lift on any floor other than the ground floor?

• A. 720
• B. 1296
• C. 1663
• D. 360
• E. 2500

Hint:

When multiple people independently choose from the same set of options, the total is \(n^r\).

Answer 1

The Correct Option is B

Step 1: Floors available.
There are 7 storeys in total, but ground floor is excluded. So choices = 6 floors.

Step 2: Each person independently chooses a floor.
Each of the 4 persons can exit at any of the 6 floors.

Step 3: Apply multiplication principle.
Total ways = \(6^4 = 1296\).

Final Answer:
\[ \boxed{1296} \]