Question

A survey of 100 students, it was found that 30 studied Mathematics, 54 studied Statistics, 25 studied Operations Research, 1 studied all the three subjects, 20 studied Mathematics and Statistics, 3 studied Mathematics and Operation Research and 15 studied Statistics and Operation Research. Find how many students studied none of these subjects and how many students studied only Mathematics?

​

Answer 1

Answer:

hope the above pic helps u

Answer 2

Step-by-step explanation:

R.E.F image

(i) 11−5−4+3=5

(3 removed twice)

(ii) 4−3=1

(iii) only maths =15−9−5+3

=4

only phy =12−9−4+3=2

only chem =5⇒Total=11

(iv) Atleast one =11+9+5+4−2(3)

=29−6=23

⇒ None =25−23=2

please follow me

thanks my answer