Number of students who like only football in a class is 20 less than the number of students who like only hockey. Number of students like only cricket is ten times of number of people who like all three sports. Number of students who like both football and cricket but not hockey is 1/5^th of the number of students who like only hockey. Number of students who like both football and cricket but not hockey is 50% more than the number of students who like both hockey and cricket but not football. Number of students who like both hockey and cricket but not football are 1/5^th of the number of students who like only football. Number of students who like both hockey and football but not cricket is double of the number of students like all three sports. Ratio of number of students like both football and hockey not cricket to number of students like both cricket and hockey not football is 5:4. Total number of students like all three sports is 5.