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There are 4 students for physics, 6 stud...

There are 4 students for physics, 6 students for chemistry and 7 students of mathematics gold medal. In how many ways one of these gold medals be awarded?

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The Physics, Chemistry and Mathematics student's gold medal can be awarded in 4,6 and 7 ways, respectively. Hence, by the fundamental principal of addition, number of ways of awarding one of the three gold medals.
`=4+6+7=17` ways.
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ARIHANT MATHS-PERMUTATIONS AND COMBINATIONS -Exercise (Questions Asked In Previous 13 Years Exam)
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  15. There are 10 points in a plane, out of these 6 are collinear. The numb...

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  17. Let n denote the number of all n-digit positive integers formed by the...

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  18. Let a(n) denote the number of all n-digit numbers formed by the digits...

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