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How many permutations can be formed from all the letters in the word a) 39,916,800 b) 435,600 c) 277,200 d) 144 e) 108,900 f) None of the above. ENGINEERING?

1 Answer

4 votes

Answer: c) 277,200

Explanation:

The number of permutations can be formed of n things , where a things are like b things are like and so on :


(n!)/(a!\ b!....)

The given word : ENGINEERING

Total letters = 11

Number of E's = 3

Number of N's = 3

Number of G's =2

Number of I's =2

The number of permutations can be formed from all the letters in the word "ENGINEERING" will be :


(11!)/(3!3!2!2!)\\\\=(11*10*9*8*7*6)/(6*6*2*2)\\\\=277200

Hence, the number of permutations can be formed from all the letters in the word "ENGINEERING" = 277,200

∴ Correct answer is c) 277,200

User Kostya Shkryob
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