In how many different ways can the letters of the word ALLAHABAD be arranged? · ABC26GN5313
Subject: General Aptitude · Chapter: Permutations and Combinations
In how many different ways can the letters of the word ALLAHABAD be arranged?
(a)3780
(b)1890
(c)7560
(d)2520
(e)None of these
Answer
Explanation
The given word contains 9 letters, namely 4A, 2L, 1H, 1B and 1D. 9 ∴ Required number of ways = ( 4 ) ( 2 ) ( 1) ( 1) ( 1) 9×8×7 ×6×5×4×3×2×1 = = 7560. 4 × 3 × 2 ×1× 2
Explanation as extracted from the printed page; notation may be imperfect.
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