wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Of the number of three athletic teams in a school, 21 are in the basketball team, 26 in hockey team and 29 in the football team. 14 play hockey and basketball, 15 play hockey and football, 12 play football and basketball and 8 play all the games. The total number of members is

A
42
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
43
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
45
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
None of these
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B 43
Let B,H,F be the sets of members in the basket ball team, hockey team, football team respectively.
n(B)=21,N(H)=26,n(F)=29,n(HB)=14,
n(HF)=15,n(FB)=12,n(BHF)=8.
n(BHF)=n(B)+n(H)+n(F)n(BH)n(HF)(BF)+n(BHF)
=21+26+29141512+8=43

flag
Suggest Corrections
thumbs-up
0
similar_icon
Similar questions
View More
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Venn Diagrams
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon