Question

$4$buses run between Bhopal and Gwalior. If a man goes from Gwalior to Bhopal by bus and comes back to Gwalior by another bus, then the total possible ways are?

• A. $12$
• B. $16$
• C. $4$
• D. $8$

Answer 1

The correct option is A

$12$

Finding the total possible ways:

Given, $4$ buses run between Bhopal and Gwalior. If a man goes from Gwalior to Bhopal by bus and comes back to Gwalior by another bus,

Now, If a man goes Gwalior to Bhopal he has four option i.e. $4$

While coming back, he has only three option because he return with another bus not the same he has three option

Therefore, total possible ways $3\times 4=12$

Hence, correct option is $\mathbf{\left(}\mathit{A}\mathbf{\right)}$.