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NDA 2023
Exam
NDA
Year
2023
Subject
Mathematics
Chapter
Permutation and Combination

NDA 2023 · Mathematics · Permutation and Combination

Let x be the number of permutations of the word 'PERMUTATIONS' and...

Let xx be the number of permutations of the word 'PERMUTATIONS' and yy be the number of permutations of the word 'COMBINATIONS'. Which one of the following is correct?

Options

  1. Ax=yx=y
  2. By=2xy=2 x
  3. Cx=4yx=4 y
  4. Dy=4xy=4 x

Correct answer

C. x=4yx=4 y

Step-by-step solution

PERMUTATIONS x=12!2![∵x=\frac{12!}{2!} \quad[\because T Comes 2 times ]]
∴x=4y\therefore \quad x=4 y.
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