volleyball only, 10 play basketball only and 6 play tennis only 4 play all the three games and equal number play two games only

(a) write out this information in cardinal form.
(b)illustrate this information in a Venn diagram
(c) find the number of women who play volleyball
(d) how many play exactly one game

1 answer

Not sure just what "an equal number play two sports only" means, but if it means that 3x players play exactly two sports, then
you left out how many play volleyball only. If that number is v, and x play each pair of 2 sports only, then the number of students is
v+10+6+3x+4