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Find the total number of factors of 1680 .

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Important Questions on Permutations & Combinations

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In a certain test there are n questions. In this test 2n-k students gave wrong answers to atleast k questions, where k=1,2,3,,n. If the total number of wrong answers given is 2047 , then n is equal to :
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The number of triangles whose vertices are at the vertices of an octagon but none of the sides of such triangles are taken from the sides of the octagon.
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If n=C2k, the value of C2n is :
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The number of positive integral solutions of abc=42 is:
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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