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Fundamental Principle of Counting

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Question

There are $8$ candidates for a Classical, $7$ for a Mathematical, and $4$ for a Natural Science Scholarship. In how many ways can the Scholarships be awarded?

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Solution

Logic: award will be given in either of the following i.e., either classical or mathematical or natural science.
So, number of ways = $8 \times 7 \times 4 = 224$

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