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One event can occur in m ways, and a second event can then occur in n ways. By the fundamental principle of counting, the total number of occurrences is what?
AThe product m times n
BThe sum m plus n
CThe difference m minus n
DThe quotient m over n
Answer & Solution
Correct answer: A. The product m times n
1. The fundamental principle of counting joins two successive events.
2. It states that the occurrences multiply rather than add.
3. So the total number of occurrences in the given order is m times n.
_Source: NCERT Class 11 Mathematics, Ch 6 'Permutations and Combinations'_
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