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Let X = {x, y, z} / x, y, z ∈ N, x + y + z = 10, {x < y < z } and Y = {(x, y, z) / x, y, z ∈ N, y = | x - z |} then X ∩ Y is equal to

(a) {(2, 3, 5)}

(b) {(1, 4, 5)}

(c) {(5, 1, 4)}

(d) {(2, 3, 5), (1, 4, 5)}
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The correct option (d) {(2, 3, 5), (1, 4, 5)}

Explanation:

X = {(1, 2, 7), (1, 3, 6), (1, 4, 5), (2, 3, 5)} element of X which belong to Y are (1, 4, 5) and (2, 3, 5) both so they belong to X ∩ Y

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