If there are 340 readers in a village and 700 males and 200 such people who are male readers find the total population of the village who is either a male or a reader

Answer 1

This problem uses the counting rule that eliminates the overlap between the two sets of persons. Here the overlap is 200 who are both male and readers.

Using set notation with R and M, the formula is {R ∪ M} = {R} + {M} - {R ∩ M}

With 340 readers and 700 males, the number who are either males or readers is the sum of the two minus the overlap

340 readers + 700 males - 200 male readers = 840 who are either a male or a reader.