Question

500 students are taking one or more courses out of chemistry, physics, and mathematics. registration records indicate course enrolment as follows: chemistry (329), physics (186), mathematics (295), chemistry and physics (83), chemistry and mathematics (217), and physics and mathematics (63). how many students are taking all 3 subjects? (a) 37 (b) 43 (c) 47 (d) 53 oa ob c

Answer 1

Answer:

D)  53 students are taking all 3 subjects.

Step-by-step explanation:

There are 500 students in total.

Only Chemistry:  329 - ( 217 + 83 ) = 29

Only Mathematics :  295 - ( 217 + 63 ) = 15

Only Physics : 186 - ( 83 + 63 ) = 40

Finally :

500 - ( 29 + 15 + 40 + 83 + 63 + 217 ) = 500 - 447 = 53 students.