A cable television company had 8500 subscribers in a suburban community. The company offers two premium channels, A and
b. If 2450 subscribers receive channel A, 1980 receive channel B, and 5140 do not receive any premium channel, how many subscribers receive both channel A and B

Respuesta :

this is a problem on  a venn diagram in which the problem determines the number of subscribers that are mutually heeding for channel A and channel B. The equation to be followed is 

U = U' + A + B + AandB
Substituting,
8500 = 5140 + 2450+1980- AandB
AandB = 1070 subscribers