A market investigator returns the following data of 10000 people consulted : 8110 liked chocolates, 7520 liked toffee, 4180 liked boiled sweets, 5700 liked chocolates and toffee, 3300 liked chocolates...

Extracted text: A market investigator returns the following data of 10000 people consulted : 8110 liked chocolates, 7520 liked toffee, 4180 liked boiled sweets, 5700 liked chocolates and toffee, 3300 liked chocolates and boiled sweets, 3480 liked toflee and boiled sweets, and 2970 liked all the three. Show that this information as it stands must be incorrect.