Question
Download Solution PDFHow many words can be formed from the letters of the word 'ENGINEER'?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCalculation:
Total letters = 8
Letter 'E' is repeating 3 times
Letter 'N' is repeating 2 times
⇒ Number of words can be formed = \(\frac{8!}{3! \times 2!}\)
⇒ Number of words can be formed = \(\frac{8 \times 7 \times 6 \times 5 \times 4\times 3\times 2\times 1 }{3 \times 2 \times 1\times 2 \times 1}\)
⇒ Number of words can be formed = 3360
∴ 3360 words can be formed.
The correct option is 1 i.e. 3360Last updated on Jun 6, 2025
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