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The number of positive integral solutions of x + y + z ≤ 10 is .................. |
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Answer» Let x + y + z + a = 10 (where x ≥ 1, y ≥ 1,Z ≥1,a ∈ z&a ≥ 0 ) Required number = n + r – 1Cr–1 = 7 + 4 - 1C4 - 1 = 10C3 = 10.9.8/1.2.3 = 120 |
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