Question

Out of 30 candidates applying for a post, 17 have degrees, 15 diplomas and 4 neither degree nor diploma. How many of them have both.​

Answer 1

hi

let's rule ot first candidate with nothing :

as they are 4 , remains : 30 -4 = 26

Now let call X number of candidate with both degrees and diplomas

we have : 17+15 -X = 26

-X = 26 - 32

-X = -6

x = 6

We have to withdraw from categorie degree and diplomas 6 people who have both and then counted twice.

So figues goes as follow :

nothing : 4

degrees only : 11

diplomas only : 9

both degree and diplomas : 6

total : 4 +11 +9 +6 = 30

Answer 2

the answer is 6.

Explanation:

solution is given in the photo