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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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  8. Consider all possible permutations of the letters of the word ENDEANOE...

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  9. The number of words can be formed with the letters of the word 'MATHEM...

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  10. In a shop, there are five types of ice-creams available. A child buys ...

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  11. The number of seven digit integers, with sum of the digits equal to 10...

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  13. There are two urns. Urn A has 3 distinct red balls and urn B has 9 ...

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  14. In how many ways 5 different balls can be distributed into 3 boxes so ...

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  15. There are 10 points in a plane, out of these 6 are collinear. The numb...

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  16. The total number of ways in which 5 balls of differert colours can be ...

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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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  19. Assuming the balls to be identical except for difference in colours, t...

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  20. Let Tn be the number of all possible triangles formed by joining ve...

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  21. Consider the set of eight vector V={a hat i+b hat j+c hat k ; a ,bc in...

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