JEE Main 202623 JanuaryMorning Shift
- Exam
- JEE Main
- Year
- 2026
- Date
- 23 January
- Shift
- Morning Shift
- Subject
- Mathematics
- Chapter
- Permutation and Combination
JEE Main 2026 · 23 January · Morning Shift · Mathematics · Permutation and Combination
The number of 4 -letter words, with or without meaning, which can...
The number of 4 -letter words, with or without meaning, which can be formed using the letters PQRPQRSTUVP, is .
Correct answer
1422
Step-by-step solution
Letters: P(3), Q(2), R(2), S(1), T(1), U(1), V(1) — 7 distinct letters.
All distinct: .
One pair + 2 distinct: choose repeating letter from (3 ways), choose 2 from remaining 6 (), arrange . Total .
Two pairs: choose 2 from (), arrange . Total .
One triple + 1 distinct: only P can repeat 3 times, choose 1 from 6, arrange . Total .
Answer .
All distinct: .
One pair + 2 distinct: choose repeating letter from (3 ways), choose 2 from remaining 6 (), arrange . Total .
Two pairs: choose 2 from (), arrange . Total .
One triple + 1 distinct: only P can repeat 3 times, choose 1 from 6, arrange . Total .
Answer .