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Previous Year Question (PYQs)



If all words (with or without meaning) formed using letters of “JAMIA” are arranged in dictionary order, what is the 50th word?





Solution

Letters: $A,A,I,J,M$. Total $= \dfrac{5!}{2!}=60$. Starting with $A$: $24$ words ($1$–$24$). Starting with $I$: $12$ words ($25$–$36$). Starting with $J$: $12$ words ($37$–$48$). Starting with $M$: $12$ words ($49$–$60$). Within the $M$-block, 49th = $\text{MAAIJ}$, 50th = $\text{MAAJI}$.


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