Question

Three persons entered a railway compartment in which $5$ seats were vacant. Find the number of ways in which they can be seated

• A. $30$
• B. $45$
• C. $120$
• D. $60$

Answer 1

The correct option is D $60$

The first person can choose to sit in any of the $5$ seats in $5$ ways.
Then the second person can choose to sit in any of the remaining $4$ seats in $4$ ways.
Lastly, the third person can choose to sit in any of the remaining $3$ seats in $3$ ways.
So, total number of ways $=5\times 4\times 3=60$ ways