How many Scholarships

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The ZCO scholarship contest offers scholarships to first time ZCO participants. You are participating in it for the first time. So you want to know the number of participants who'll get the scholarship. You know that the maximum number of scholarships offered is $R$ and there are a total of $N$ participants numbered from $1$ to $N$. Out of these, you know the set of people (denoted by $X$) who

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