From the set given, the variables we look is as follows
- number of children for cricket only = 6
- the number of children that like neither cricket tennis nor swimming is = 0
- the number of children that like tennis and cricket but not swimming 15
<h3>How to find the required variables</h3>
<u>Cricket only</u>
let the number of children for cricket be c = 15
cricket only = 15 - (8 - 5) - (6 - 5) - 5
= 15 - 3 - 1 - 5
= 6
<u>neither cricket tennis nor swimming</u>
tennis only = 18 - (8 - 5) - (9 - 5) - 5
= 18 - 3 - 4 - 5
= 6
swimming only = 17 - (6 - 5) - (9 - 5) - 5
= 17 - 1 - 4 - 5
= 7
tennis and swimming only = 9 - 5 = 4
tennis and cricket only = 8 - 5 = 3
swimming and cricket only = 6 - 5 = 1
tennis cricket and swimming = 5
cricket only = 6
neither cricket tennis nor swimming = all the children - sum of the variables found
= 32 - (6 + 6 + 7 + 4 + 3 + 1 + 5)
= 32 - (32)
= 0
tennis and cricket but not swimming
= tennis and cricket only + cricket only + tennis only
= 3 + 6 + 6
= 15
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