In a class of 35 students 29 play droughts,16 play chess and 10 play both droughts and chess what's the number of students who play droughts only and chess only???
29 - 10 = 19 droughts only
16- 10 = 6 chess only.
if you were using a Venn Diagram
two circles intersection with
the 10 in the intersection
19 in the drought only part of the first circle
6 in the chess only part of the 2nd circle.
That will add to 35.
I think that's draughts, not droughts!
Just my dry wit...
To find the number of students who play draughts only and chess only, we need to subtract the number of students who play both draughts and chess from the total number of students who play each game.
First, let's find the number of students who play draughts only:
Number of students who play draughts = Total students who play draughts - Number of students who play both
Number of students who play draughts = 29 - 10 = 19
Next, let's find the number of students who play chess only:
Number of students who play chess = Total students who play chess - Number of students who play both
Number of students who play chess = 16 - 10 = 6
Therefore, there are 19 students who play draughts only and 6 students who play chess only.
To find the number of students who play draughts only and chess only, we need to use the principle of inclusion-exclusion.
We know that there are 35 students in total, 29 of whom play draughts, and 16 of whom play chess. Additionally, 10 students play both draughts and chess.
To find the number of students who play draughts only, we subtract the number of students who play both from the total number of students who play draughts:
Number of students who play draughts only = Total number of students who play draughts - Number of students who play both draughts and chess = 29 - 10 = 19 students.
Similarly, to find the number of students who play chess only, we subtract the number of students who play both from the total number of students who play chess:
Number of students who play chess only = Total number of students who play chess - Number of students who play both draughts and chess = 16 - 10 = 6 students.
Therefore, there are 19 students who play draughts only, and 6 students who play chess only.