41:9
Step-by-step explanation:
Fit's find the no. of students who don't play either of the sports:
~If 3 students play both of the sports. It would be subtracted from the 26 who plays basketball and 18 who play badminton.
26-3=23 ( no. of students who play only basketball)
18-3=15 (no. of students who only play badminton)
~ 23+15+3=41
~50-41=9 ( no. of students who don't play either basketball nor badminton)
So the ratio would be 41:9.
Since it's already on lowest term that would be the answer.
