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In how many different ways can the letters of the word OPERATE be arranged?

A. 64

B. 960

C. 20160

D. 40320

E. None of these

Answer: Option C

Solution(By Examveda Team)

The given words contains 8 letters out of which U is taken 2 times and all other letters are different.
∴ Required number of ways
$$\eqalign{ & = \frac{{8!}}{{2!}} \cr & = \frac{{8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1}}{2} \cr & = 20160 \cr} $$

This Question Belongs to Arithmetic Ability >> Permutation And Combination

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Comments ( 1 )

  1. Chutti Kendre
    Chutti Kendre :
    2 years ago

    The question is wrong it contains only 7 letters that's OPERATE and ans will be 2520

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