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Question

The number of ways in which 20 one rupees coins can be distributed among 5 people such that each person gets at least 3 rupees, is_____

A
26
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B
63
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C
126
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D
none of these
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Solution

The correct option is C 126
Let x ,y,z,v and w are 5 people

x+y+z+v+w=20

Such that x3,y3,z3,v3,w3


Let us give 3 coins to each

x+y+z+v+w=20(3+3+3+3+3)

x+y+z+v+w=2015

x+y+z+v+w=5

Now find no negative interest solution of this equation

Total ways =n+r1Cr1

=5+51C51=gC4=9×8×7×69×3×2=126



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