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
$$\eqalign{ & = \frac{{8!}}{{2!}} \cr & = \frac{{8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1}}{2} \cr & = 20160 \cr} $$
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Comments ( 1 )
Related Questions on Permutation and Combination
A. 3! 4! 8! 4!
B. 3! 8!
C. 4! 4!
D. 8! 4! 4!
A. 7560,60,1680
B. 7890,120,650
C. 7650,200,4444
D. None of these
A. 8 × 9!
B. 8 × 8!
C. 7 × 9!
D. 9 × 8!
The question is wrong it contains only 7 letters that's OPERATE and ans will be 2520