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For the equation x + y + z +omega= 19, t...

For the equation `x + y + z +omega= 19,` the number of positive integral solutions is equal to-

A

the number of ways in which 15 identical things can be distributed among 4 persons.

B

the number of ways in which 19 identical things can be distributed among 4 persons.

C

coefficient of `x^(19)` in `(x^(0) + x^(1) + x^(2) + "…….." +x^(19))^(4)`

D

coefficient of `x^(19)` in `(x + x^(1) + x^(2) + "…….." +x^(19))^(4)`

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The correct Answer is:
A
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