Question

5 people visit a clinic at different times. They go on different times and wait in waiting room where there are 8 chairs until their turn comes. In all cases except in case of 1 patient, chairs were all empty. In this case of that 1 patient, 3 chairs were occupied, find the number of ways of sitting in waiting room.
1. 8C4 × 5C1
2. 8C5
3. 8 × 8 × 8 × 8 × 5
4. 8 × 8 × 8 × 8 × 8
5. 5 × 5 × 5 × 5 × 5

Answer 1

Correct Answer - Option 3 : 8 × 8 × 8 × 8 × 5

Concept:-

Basic counting concept.

Calculation:-

Since 4 have 8 choices to sit and 1 particular patient has 5 choices to sit.

Number of ways of sitting for 4 patient = 8 × 8 × 8 × 8

Number of ways of sitting for 1 particular patient = 5

Number of ways = 8 × 8 × 8 × 8 × 5