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NTA Abhyas 2020
Exam
NTA Abhyas
Year
2020
Subject
Mathematics
Chapter
Sets and Relations

NTA Abhyas 2020 · Mathematics · Sets and Relations

If A is the set of even natural numbers less than 8 and B is the...

If AA is the set of even natural numbers less than 8\text{8} and BB is the set of prime numbers less than 7\text{7}, then the number of relations from AA to BB are

Options

  1. A29{2}^{9}
  2. B92{9}^{2}
  3. C32{3}^{2}
  4. D29−1{2}^{9 - 1}

Correct answer

A. 29{2}^{9}

Step-by-step solution

A=2,4,6A = { 2,4, 6 } ; B={2,3,5}B = \left\{2, 3, 5\right\}

∴A×B∴A \times B contains 3×3=93 \times 3 = 9 elements.

Hence, the number of relations from AA to B=29B = {2}^{9}.
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