Consider the Venn diagram shown in the picture.
173 is the number of students enrolled in both Business Maths and Statistics.
Let a be the number of students enrolled ONLY in Business Maths, and b be the number of students enrolled in ONLY statistics.
Since the number of Business Mathematics students is 600:
a+173=600
a=600-173=427
Since the number of Statistics students is 300:
b+173=300
b=300-173=127
The total number of students is a+b+173=427+127+173=727
Answer: 727
