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Solution


Q.

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 50th word is                      [2024]
1 OBBJH  
2 HBBJO  
3 OBBHJ  
4 JBBOH  

Ans.

(1)

Let us fix B first (Dictionary Order)

B _ _ _ _    (We have 4 distinct letters left, to be arranged in 4 distinct ways)
Number of ways = 4! = 24

H _ _ _ _   (We have B, B, J, O to be arranged in 4 ways when H is fixed)

Number of ways = 4!2!=12

J _ _ _ _    (B, B, H, O to be arranged in 4 ways)

Number of ways = 4!2!=12

49th word will be OBBHJ
50th word will be OBBJH