Correct Answer: GARBAGE

Solution : Given:
HARBINGER

Now, let's compare all the option words with the word HARBINGER –
First option: BARRING; All the letters of BARRING are present in the word HARBINGER.
Second option: GARNER; All the letters of GARNER are present in the word HARBINGER.
Third option: GARBAGE; The letters A and G appear only once in the word HARBINGER. But, in GARBAGE, A and G appear two times. Therefore, all the letters of GARBAGE are not present in the word HARBINGER.
Fourth option: RANGER; All the letters of RANGER are present in the word HARBINGER.

So, from the above, only GARBAGE cannot be formed from the word HARBINGER. Hence, the third option is correct.