Question

Answer this question

Answer 1

Answer:

Step-by-step explanation:

for these kinds of questions it is better to draw the venn diagrams

because it is the easiest of all

in the image attached below:

F denotes the circle for football

C denotes the circle for cricket

H denotes the circle for hockey

(ii)in the venn diagram, the intersection of all the three circles gives the number of players who play all the three games=3

(iii)in the venn diagram,the part of the 'H' circle not intersecting with the other two circles give the number of players who play hockey only=15

(iv)number of players who play one of the games=sum of the numbers in the venn diagram =86

(v)in the venn diagram,the number of players who play exactly two games is the portion of intersection of two of the circles=12+10+5=27

(vi)in the venn diagram,to find the number of players who play atmost two games,we should find the sum of the number of players who play cricket alone ,hockey alone,football alone,only cricket and football,only football and hockey,only cricket and hockey

so 16+15+25+12+10+5=83

hope this helps you

thank you