Mathematics - Permutation & Combination Question with Solution | TestHub

MathematicsPermutation & CombinationMiscellaneous/MixedMedium2 minQB
MathematicsMediumsingle choice

Match the following:

Column-I

a) The number of positive unequal integral solutions of the equation is

b) The number of zeros at the end of is

c) The number of congruent triangles that can be formed using the vertices of a regular polygon of 72 vertices such that the number of vertices of the polygon between any two consecutive vertices of the triangle must be the same, is

d) The number of ways in which the letters of the word "SUNDAY" can be arranged so that they neither begin with S nor end with Y, is

 

Column-II

p) 50

q) 36

r) 24

s) 552

Options:

Answer:
A
Solution:

a)We can assume that without loss of genterality. Now put and , Then and the given equation becomes . The number of positive integer solutions of this equation = 552

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Stream:JEESubject:MathematicsTopic:Permutation & CombinationSubtopic:Miscellaneous/Mixed
2mℹ️ Source: QB

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