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How many arrangements can be made out of the letters of the word 'ENGINEERING' ?

  • a)
    924000

  • b)
    277200

  • c)
    182000

  • d)
    None of these

Correct answer is option 'B'. Can you explain this answer?
Verified Answer
How many arrangements can be made out of the letters of the word ENGIN...
The number of arrangements of the word ENGINEERING is 277200.

ENGINEERING word has 3 times of 3, three times of N, 2 times of G and 2 times of I. Then, the total letter is 11.



So, the number of arrangements of the word ENGINEERING = 11!/[3! * 3! * 2! * 2!] = 39916800/[6 * 6 * 2 * 2] = 277200



Hence, the number of arrangements of the word ENGINEERING is 277200.
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Most Upvoted Answer
How many arrangements can be made out of the letters of the word ENGIN...

The number of arrangements of the word ENGINEERING is 277200.

Solution:

ENGINEERING word has 3 times of 3, three times of N, 2 times of G and 2 times of I. Then, the total letter is 11.

So, the number of arrangements of the word ENGINEERING = 11!/[3! * 3! * 2! * 2!]

= 39916800/[6 * 6 * 2 * 2]

= 277200

Hence, the number of arrangements of the word ENGINEERING is 277200.
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Community Answer
How many arrangements can be made out of the letters of the word ENGIN...

The number of arrangements of the word ENGINEERING is 277200.

Solution:

ENGINEERING word has 3 times of 3, three times of N, 2 times of G and 2 times of I. Then, the total letter is 11.

So, the number of arrangements of the word ENGINEERING = 11!/[3! * 3! * 2! * 2!]

= 39916800/[6 * 6 * 2 * 2]

= 277200

Hence, the number of arrangements of the word ENGINEERING is 277200.
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How many arrangements can be made out of the letters of the word ENGINEERING ?a)924000b)277200c)182000d)None of theseCorrect answer is option 'B'. Can you explain this answer?
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