In how many ways can the letters of the word 'LEADER' be arranged?
A. 72
B. 144
C. 360
D. 720
E. None of these
Answer: Option C
Solution(By Examveda Team)
The word 'LEADER' contains 6 letters, namely 1L, 2E, 1A, 1D and 1R.∴ Required number of ways $$ = \frac{{6!}}{{\left( {1!} \right)\left( {2!} \right)\left( {1!} \right)\left( {1!} \right)\left( {1!} \right)}} = 360$$
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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!
LEADER = 6! / 2!
That is, 720/2 = 360.
6 letters and 2E repeating