In how many different ways can the letters of the word ENGINEERING be arranged? · ABC26GN5312
Subject: General Aptitude · Chapter: Permutations and Combinations
In how many different ways can the letters of the word ENGINEERING be arranged?
(a)277200
(b)92400
(c)69300
(d)23100
(e)None of these
Answer
Explanation
The given word contains 11 letters, namely 3E, 3N, 2G, 2I and 1R. 11 ∴ Required number of ways = ( 3 ) ( 3 ) ( 2 ) ( 2 ) ( 1) 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 6×6×2×2×1 = (11 × 10 × 9 × 8 × 7 × 5) = 277200.
Explanation as extracted from the printed page; notation may be imperfect.
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