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Permutations — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHSPermutations4 Marks
Question
Find the number of words formed by permuting all the letters of the following words: INDIA.
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Answer

There are 5 letters in the word 'INDIA' out of which 2 are I'S, and the rest are all distinct. so, the total number of $=\frac{5!}{2!\ }$ $=\frac{5\times4\times3\times2!}{2!}$ $=60$

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