# Questionbank: Permutation and Probability

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Outcome greater than the previous one

## Rolling a Die

Q.23: I roll a die 4 times. In how many outcomes will each subsequent throw be greater that the previous one?.
1. 30
2. 48
3. 54
4. 60

Choice A. 30

## Detailed Solution

If we want the outcome in each throw to be greater than the previous one, essentially we are looking at four different outcomes in each throw and the possibility of each outcome being greater than the previous is possible only in one combination.

So, we are looking at just selecting four outcomes out of 6 possible outcomes when we normally roll a die. This is equal to 6C4= 30 ways.

Correct Answer : 30

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