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Mathematics · JEE | PERMUTATIONS AND COMBINATIONS

हिन्दी

If \( {^n\text{P}_5} = 42 \, {^n\text{P}_3} \), where \( n > 4 \), find the value of \( n \).

  1. A
    10
  2. B
    8
  3. C
    12
  4. D
    14
View Answer & Solution

Correct answer · Option A

10

Explanation

Expanding gives \( (n-3)(n-4) = 42 \), leading to \( n^2 - 7n - 30 = 0 \), yielding \( n = 10 \).
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