Answer the question on the basic of the following information provided:
The students of a school participates in various sports activities, the distribution of the same is given below:
- $\text{Football} – 17\%$
- $\text{Handball} – 26\%$
- $\text{Badminton} – 16\%$
- $\text{Table Tennis} – 22\%$
- $\text{Basketball} – 19\%$
Total number of students in the school are $800.$
What is the respective ratio between the total number of students taking part in Badminton and Table Tennis together and those participating in Basketball and Football together?
- $11:13$
- $18:19$
- $19:18$
- $29:28$