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The number of positive integral solutions of abc=42 is:

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Important Questions on Permutations & Combinations

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There are three piles of identical red, blue and green balls and each pile contains at least 10 balls. The number of ways of selecting 10 balls if twice as many red balls as green balls are to be selected, is
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Between Shirdee and Khandala, there are 10 intermediate stations. The number of ways in which a train can be made to stop at 4 of these stations so that no two of these halting stations are consecutive is :
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The number of ways in which an examiner can assign 30 marks to 8 questions, giving not less than 2 marks to any question is :
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The total number of seven digit numbers the sum of whose digits is even is

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The total number of ways of selecting six coins out of 20 one-rupee coins, 10 fifty-paisa coins, and 7 twenty-five paise coins is
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Nargis has 8 children and she takes 3 at a time to children's park as often as she can without taking the same 3 children together more than once, the number of times each child will go to the park is:
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The sides AB, BC, CA of a ΔABC have 3, 4, 5 interior points, respectively on them. Total number of triangles that can be formed using these points as vertices, is equal to
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The number of ways in which a team of 11 players can be selected from 22 players always including 2 of them and excluding 4 of them is