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Let X= {a such that a is a prime number and a<20}. The number of different rational numbers whose numerator and denominator belong to X is
  • a)
    56
  • b)
    57
  • c)
    51
  • d)
    54
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Let X= {a such that a is a prime number and a<20}. The number of di...
X = { 2,3,5,7,11,13,17,19} 
A rational number is made by taking any two in any order.
So the required number of rational numbers = 8P2 +1 = 56+1 = 57
Note- 1 is added for the rational number with same numerator and denominator.
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Let X= {a such that a is a prime number and a<20}. The number of different rational numbers whose numerator and denominator belong to X isa)56b)57c)51d)54Correct answer is option 'B'. Can you explain this answer?
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