Question

In a survey of 25 students ,it was found that 15 had taken mathematics , 12 had taken physics and 11 had taken chemistry , 5 had taken mathematics and chemistry , 9 had taken mathematics and physics , 4 had taken physics and chemistry and 3 had taken all the three subjects . write the number of student that had taken (a) at least one of three subjects (b) only mathematics
3 points​

Answer 1

Answer:

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Answer 2

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

(v) 23

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