A collage awarded 38 medals in football,15 in basketball,and 20 in cricket,if these medals went to the total of 58 men and only 3men got medals in all the 3 items,how many received medals in exactly 2 of 3?
Share
A collage awarded 38 medals in football,15 in basketball,and 20 in cricket,if these medals went to the total of 58 men and only 3men got medals in all the 3 items,how many received medals in exactly 2 of 3?
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
Answer:
9
Step-by-step explanation:
by the question..
n(F)=38
n(B)=15
n(C)=20
n(F∪B∪C)=58
n(F∩B∩C)=3
We know, n(F∪B∪C)=n(F)+n(B)+n(C)−n(F∩B)−n(B∩C)−n(F∩C)+n(F∩B∩C)
n(F∩B)+n(B∩C)+n(C∩F)=73−58+3=18
the number of students who received medals in exactly two of the three
sports is,
n(F∩B)+n(B∩C)+n(C∩F)−3×n(F∩B∩C)=18−9=9,,
- Sreevith Penti
12th standard
Answer:
Let F,B,C be the sets of students who received medals in football, basketball, and cricket respectively.
n(F)=38
n(B)=15
n(C)=20
n(F∪B∪C)=58
n(F∩B∩C)=3
We know, n(F∪B∪C)=n(F)+n(B)+n(C)−n(F∩B)−n(B∩C)−n(F∩C)+n(F∩B∩C)
n(F∩B)+n(B∩C)+n(C∩F)=73−58+3=18
the number of students who received medals in exactly two of the three
sports is,
n(F∩B)+n(B∩C)+n(C∩F)−3×n(F∩B∩C)=18−9=9