Home › TS Intermediate 1st Year › Mathematics › Permutations and Combinations › If one event can occur in m ways and then anothe…
If one event can occur in m ways and then another in n ways, the total is:
Am times n
Bm plus n
Cm minus n
Dm over n
Answer & Solution
Correct answer: A. m times n
1. The two events happen one after the other, in a given order.
2. Every way of doing the first pairs with every way of doing the second.
3. The total number of occurrences of the events in the given order is m times n.
4. So the counts multiply rather than add.
_Source: NCERT Class XI Mathematics, Ch 6 'Permutations and Combinations'_
Related questions
Signals using exactly 4 flags out of those 5 different flags number:Signals using exactly 3 flags out of 5 different flags number:Three digit even numbers from the digits 1 to 6, with repetition allowed, number:The number of ways to arrange all 5 different flags on a staff is:The relation linking arrangements and selections of r objects from n is nPr equals:Permutations of n objects where p are alike and the rest all differ number:The number of permutations of n different objects taken r at a time, with no repetition, iThe value of 6 factorial is: