If A > 11, B > 21, C > 30, D > 40 and E > 50, then how many posit

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If A > 11, B > 21, C > 30, D > 40 and E > 50, then how many positive integral solutions exist for A + B + C + D + E = 2012?

Options:

A . 1859C5

B . 2012C4

C . 2012C5

D . 1859C4

Answer: Option D
:
D
A + B + C + D + E = 2012 (A>11, B>21, C>30, D>40, E>50)
This is a lower limit Similar->Different question.
So, we assign the minimum values that can be taken by each of A, B, C, D and E and reframe the equation:
A + B + C + D + E = 1855 (Assigning 12 to A, 22 to B, 31 to C, 41 to D and 51 to E)
Using the 1-0 method:
Required Answer =

^{1859}

C

_{4}

.Option (d)

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