Let R be a relation from the set to itself such that R = where p, q 3 are prime numbers. Then, the number of elements in R is:
Let R be a relation from the set to itself such that R = where p, q 3 are prime numbers. Then, the number of elements in R is:
Option 1 -
600
Option 2 -
660
Option 3 -
540
Option 4 -
720
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1 Answer
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Correct Option - 2
Detailed Solution:R = { (a, b): b = pq, where p, q are prime}
p, q {3, 5, 7, 11, 13, 17, 19, 23, 29, 3, 37, 41, 43, 47, 53, 59} total 16
p, q {3, 5, 7, 11, 13, 17, 19}
{3, 5, 7, 11, 13, 17, 19}
7 + 3 + 1 = 11
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