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Sir pls solve this question.

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Asked by rsudipto 14th December 2018, 9:51 AM
Answered by Expert
Answer:
15 < x1 + x2 + x3 ≤ 20
x1 + x2 + x3 = 16 + r where r = 0, 1, 2, 3, 4
Number of positive integral solutions
x1 + x2 + x3 = 16 + r
16 + r - 1C3 - 1 = 15 + rC2
Total number of solutions = begin mathsize 16px style stack sum space with straight r equals 0 space below and 4 on top 15 plus straight C presuperscript straight r subscript 2 space equals space straight C presuperscript 15 subscript 2 space plus space straight C presuperscript 16 subscript 2 space plus space straight C presuperscript 17 subscript 2 space plus space straight C presuperscript 18 subscript 2 space plus space straight C presuperscript 19 subscript 2 space equals space 685
end style
Answered by Expert 17th December 2018, 11:02 AM
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