in a certain examination 52 candidates offered biology 60 candidates offered history and 96 offered mathematics

incomplete, look at how it came out

Yes

To find the total number of candidates who offered at least one subject, we need to calculate the total number of candidates who offered each subject and then subtract any duplicates.

First, we add up the number of candidates who offered each subject:

- Biology: 52 candidates
- History: 60 candidates
- Mathematics: 96 candidates

Next, we subtract any duplicates. To do this, we need to find the intersection between the subjects. Assuming there are no candidates who offered both biology and history, and no candidates who offered both history and mathematics, and no candidates who offered both mathematics and biology, we can simply add up the number of candidates per subject:

Total number of candidates = Biology + History + Mathematics
= 52 + 60 + 96
= 208

Therefore, the total number of candidates who offered at least one subject in the examination is 208.

= (52+60+96)-(21+22+16)+(7) = 156