JEE Mains · Maths · STD 11 - 6. permutation and combination
\(60\) words can be made using all the letters of the word \(BHBJO,\) with or without meaning. If these words are written as in a dictionary, then the \(50^{\text {th }}\) word is :
- A \(OBBHJ\)
- B \(HBBJO\)
- C \(\mathrm{OBBJH}\)
- D \(\mathrm{JBBOH}\)
Answer & Solution
Correct Answer
(C) \(\mathrm{OBBJH}\)
Step-by-step Solution
Detailed explanation
\(\mathrm{B} \mathrm{B} \mathrm{H} \mathrm{J} \mathrm{O}\) \( \mathrm{B} \_4 !=24 \) \( \mathrm{H} \_\frac{4 !}{2 !}=12 \) \( \mathrm{~J} \_\frac{4 !}{2 !}=12\) \(O B B H J\) \(O B B J H\) \(\rightarrow 50^{\text {th }}\) rank
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