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Question

There are 44 candidates for a Natural science scholarship, 22 for a Classical and 66 for a Mathematical scholarship,then find the no. of ways one of these scholarship can be awarded is,

A
6
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B
10
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C
48
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D
12
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Solution

The correct option is C 12
Natural science scholarship can be awarded to anyone of the four candidates. So, there are 4 ways of awarding natural science scholarships.

Similarly, mathematical and classical scholarships can be awarded in 2 and 6 ways respectively.

By the fundamental principle of addition, number of ways of awarding one of the three scholarships is
=4+2+6=12

Hence option-D

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