JEE Main 2025 (Online) 29th January Evening ShiftQuestion 1
If all the words with or without meaning made using all the letters of the word "KANPUR" are arranged as in a dictionary, then the word at $440^{th}$ position in this arrangement, is :
Permutation and Combination
Solution
Alphabetical order $A,K,N,P,R,U$. Words beginning with $A,K,N$: $360$; $PA$: $24$, $PK$: $24$, $PN$: $24$ (total $432$). Then $PRA\ldots$: $6$ ($438$), $PRKANU$ is $439$th and $PRKAUN$ is $440$th.