A college warded 38 medals in football, 15 in basketball and 20 in cricket. If these medals went to a total of 58 men and only three men got medals in all the three sports, how many received medals in exactly two of the three sports?

Out of 35 students in section A of the 7^(th) grade of Manhattan Public School , 10 students like baseball, 20 students like football and 10 students like rugby. 3 students like baseball and football,2 students like only basketball and rugby,4 students like only baseball and rugby. If only 2 students like all three games , how many students do not like any of the above three games ?

In a group of children, 35 play football out of which 20 play football only, 22 play hockey, 25 play cricket out of which 11 play cricket only. Out of these 7 play cricket and football but not hockey, 3 play football and hockey but not cricket and 12 play football and cricket both. How many play all the three games ? How many play cricket and hockey but not football, how many play hockey only? What is the total number of children in the group?

Milan has planned a treat for her friends. She has sandwiches, pastries, and noodles on the menu. The sandwiches are packed in boxes such that each box has four sandwiches, pastries are packed two each in a box, and the box of noodles serves three persons. If there are a total of 52 boxes, and each friend receives all the three items, find how many friends Milan treated.

At an election, three wards of a town are convassed by 4,5, and 8 men respectively. If there are 20 volunters. In how many ways can they be alloted to different wards?

31 candidates appeared for an examination, 15 candidates passed in English, 15 candidates passed in Hindi, 20 candidates passed in Sanskrit. 3 candidates passed only in English. 4. candidates passed only in Hindi, 7 candidates passed only in Sanskrit. 2 candidates passed in all the three subiects How many candidates passed only in two subjects