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Question

Let S ={x : x is a positive multiple of 3 less than 100} P = {x : x is a prime number less than 20} Then, n(S) + n(P) = ____________.

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Solution

Let S ={x : x is a positive multiple of 3 less than 100}
S = {3, 6, 9, ....... 99}
P = {x : x is a prime number less than 20}= {2, 3, 5, 7, 11, 13, 17, 19}
n(S) = 33
n(P) = 8
n(S) + n(P) = 41

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