JEE Mains · Maths · STD 11 - 6. permutation and combination
The letters of the word "UDAYPUR" are written in all possible ways with or without meaning and these words are arranged as in a dictionary. The rank of the word "UDAYPUR" is:
- A 1580
- B 1578
- C 1579
- D 1581
Answer & Solution
Correct Answer
(A) 1580
Step-by-step Solution
Detailed explanation
ADIPRUU \(A \rightarrow \frac{6!}{2!}=360\) \(D \rightarrow \frac{6!}{2!}=360\) \(P \rightarrow \frac{6!}{2!}=360\) \(R \rightarrow \frac{6!}{2!}=360\) \(UA \rightarrow 5!=120\) \(UDAP \rightarrow 3!=6\) \(UDAR \rightarrow 3!=6\) \(UDAU \rightarrow 3!=6\)…
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