Answer to Question #285486 in Algebra for nuur

Question

Of the members of three athletic teams in a school 21 are in the cricket team, 26 are in the hockey team and 29 are in the football team. Among them, 14 play hockey and cricket, 15 play hockey and football, and 12 play football and cricket. Eight play all the three games. The total number of members in the three athletic teams is

Answer 1

Explanations & Calculations

• A Venn diagram is needed for this.
• It is as follows,

• The individual population in each area is illustrated in normal numbers.
• Then, all the players in the 3 teams are represented by the sum of those individual numbers..
• Then that is $\small 3+6+8+4+7+10+7+5=43$