Question
Download Solution PDFFind the number of different permutations of the letters of the word INDIA
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Let there be n objects, of which m objects are alike of one kind, and the remaining (n – m) objects are distinct. Then, the total number of permutations that can be formed from these objects is \(\rm \frac{n!}{m!}\)
Calculation:
The given word ‘INDIA‘ contains 5 letters, out of which two are alike of one kind (2 I‘s), and the other three letters are distinct.
∴Total number of their permutations = \(\rm \frac{5!}{2!}=\frac{5\times4\times3\times2\times1}{2\times1}=60\)
Hence, option (4) is correct.
Last updated on May 31, 2025
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