AP EAMCET · Maths · Permutation Combination
The number of ways of forming the ordered pairs ( \(p, q\) ) such that \(p>q\) by choosing p and q from the first 50 natural numbers is
- A \(1275\)
- B \(1250\)
- C \(1225\)
- D \(1200\)
Answer & Solution
Correct Answer
(C) \(1225\)
Step-by-step Solution
Detailed explanation
\( \text{Number of ways} = \binom{50}{2} \) \( = \frac{50 \times 49}{2 \times 1} \) \( = 25 \times 49 \) \( = 1225 \)
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