1. What perce In a survey, it was found that 32 students play football, 25 students play volley ball and 13 students play both games. Find the number of students playing at least one game.
Answers
No. of students playing at least one game = 44
Full Explanation:-
➤B = basketball; V = volleyball
➤n(B) = no of students playing only B
➤n(V) = no. of students playing only V
➤n(B∩V) = no. of students playing both B and V
Now:
32 students play basketball. Some of them could also be playing volleyball. Hence, the number of students playing only basketball will be 32 minus those that play both.
➙n(B) = 32 - 13
(Given that 13 play both games)
➙n(B) = 19
Similarly,
25 students play volleyball. Some of them could also be playing basketball. Hence, the number of students playing only volleyball will be 25 minus those that play both.
➙ n(V) = 25 - 13
➙ n(V) = 12
Thus, We have 19 students playing only B, 12 students playing only V and 13 students playing BOTH.
Clearly, the number of students that play at least one game is:
No. of students playing ONLY basketball +
No. of students playing ONLY volleyball +
No. of students playing BOTH
This Can Be Given As:
n(B) + n(V) + n(B∩V)
= 19 + 12 + 13
= 44
in survey if was found that 32 students play football ,25 students play volleyball and 13 students play both game .Find the number of students playing at least one game.