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The number of positive integral solutions of the equation x1 + x2 + x3 − x4 = 0 with the condition x 4 ≤ 10 is 

(1) 120 

(2) 150 

(3) 55 

(4) 65

1 Answer

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Best answer

Correct option (1) 120

Explanation:

Given x4 ≤ 10, x1 + x2 + x3 = x4

 x1, x2, x3 should be positive integers, 3 ≤ x4 ≤ 10

⇒ required to find the number of positive integral solutions of the equation x1 + x2 + xn = n, where 3 ≤ n ≤ 10

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