ABC26GN5312 · Permutations and Combinations

Subject: General Aptitude · Chapter: Permutations and Combinations · Exam: · Marks: · Difficulty:

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

Answer (as printed): A

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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