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Let X = { n ∈ N : 1 ≤ n ≤ 50 } . If A = { n ∈ X : n is a multiple of 2 } and B = { n ∈ X , n is a multiple of 7 } , then the number of elements in the smallest subset of X containing both A and B  is

0 2 Views | Posted a month ago
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    Answered by

    alok kumar singh | Contributor-Level 10

    a month ago

    A = {2,4,6,8, . . .50} ⇒ 25 element
    A = {7,14,21, . . . .49} ⇒ 7 elements
    A ∩ B = {14,28,42} = 3 elements
    Required number of elements = 25 + 7 - 3 = 29

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