Q50 / 90 · JEE Main 2024 (05 Apr Shift 2) · Mathematics

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
JBBOH
Correct answer
B
OBBJH
C
OBBHJ
D
HBBJO

Solution

$\mathrm{B} \mathrm{B} \mathrm{H} \mathrm{J} \mathrm{O}$ B____$4 !=24$ H____$\frac{4 !}{2 !}=12$ j____$\frac{4 !}{2 !}=12$ O B B H J O B B J H $\rightarrow 50^{\text {th }}$ rank

Hence, the correct answer is option: 'B'.

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