JEE Main 2026 — 24 January, Evening Shift — Question 9

Arrange letters of UDAYPUR alphabetically: A, D, I, P, R, U, U. Words starting with A: $\frac{6!}{2!} = 360$. Words starting with D: $\frac{6!}{2!} = 360$. Words starting with I: $\frac{6!}{2!} = 360$. Words starting with P: $\frac{6!}{2!} = 360$. Words starting with R: $\frac{6!}{2!} = 360$. Words starting with UA: $5! = 120$. Words starting with UDAP: $3! = 6$. Words starting with UDAR: $3! = 6$. Words starting with UDAU: $3! = 6$. Words starting with UDAYPRU: $1$. Word UDAYPUR: $1$. Total rank = $360+360+360+360+360+120+6+6+6+1+1 = 1580$.