MCQ 11 Mark
Assertion (A): Suresh plans to go from Lucknow to Kanpur by bus and return back to Lucknow by a different bus. If there are only 10 buses running between Lucknow and Kanpur, then total number of ways in which Suresh can plan his journey is 90.
Reason (R): If an event can occur in $m$ different ways and a second event can occur in $n$ different ways, then either of the two events can occur in $(m+n)$ ways.
Reason (R): If an event can occur in $m$ different ways and a second event can occur in $n$ different ways, then either of the two events can occur in $(m+n)$ ways.
- ✓Both $A$ and $R$ are true and $R$ is the correct explanation of A .
- BBoth A and R are true but R is not the correct explanation of A.
- C$A$ is true but $R$ is false.
- DA is false but R is true.
Answer
View full question & answer→Correct option: A.
Both $A$ and $R$ are true and $R$ is the correct explanation of A .
(a) Both $A$ and $R$ are true and $R$ is the correct explanation of $A$.
Explanation: Number of ways of going from Lucknow to Kanpur by bus $=10$
Explanation: Number of ways of going from Lucknow to Kanpur by bus $=10$
Number of ways of returning back by different bus $=9$
$\therefore$ By fundamental principle of counting, total number of ways $=10 \times 9=90$
$\therefore$ A is true.
Also, R is true but R is not the correct explanation of A .