Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
NDA 2017
Exam
NDA
Year
2017
Subject
Mathematics
Chapter
Permutation and Combination

NDA 2017 · Mathematics · Permutation and Combination

How many different permutations can be made out of the letters of...

How many different permutations can be made out of the letters of the word 'PERMUTATION'?

Options

  1. A1995840019958400
  2. B1995480019954800
  3. C1995240019952400
  4. D3991680039916800

Correct answer

A. 1995840019958400

Step-by-step solution

P E R M U T A T I O N 11 letters and Tisrepeated2times.T is repeated 2 times.∴ Different permutations =11!2!&=11×10×9×8×7×6×5×4×3&=19958400\begin{aligned}& \therefore \text{ Different permutations }=\frac{11!}{2!} \& =11 \times 10 \times 9 \times 8 \times 7 \times 6 \times 5 \times 4 \times 3 \& =19958400\end{aligned}$$
Practice Permutation and Combination on Quantrex Academy →

More from Permutation and Combination

All Permutation and Combination questions Full Permutation and Combination list Permutation and Combination JEE Maths PYQsJEE Mathematics PYQs All NDA PYQs