In a group of 15, 7 have studied German, 8 have studies French and 3 h

1.	In a group of 15, 7 have studied German, 8 have studies French and 3 have not studied either.How many of these have studies both German and French?A) 0B) 3C) 4D) 5
Answer» Answer: ===>3 Step-by-step EXPLANATION: n(U)=15 n(GERMAN)=7=n(G) n(French)=8=n(F) n(students who have studied NEITHER) =3 n(G∪F)=n(U)− n(students who studied neither) =15−3=12 n(G∪F)=n(G)+n(F)−n(G∩F) 12=7+8−n(G∩F) n(G∩F)=15−12=3

In a group of 15, 7 have studied German, 8 have studies French and 3 have not studied either.How many of these have studies both German and French?A) 0B) 3C) 4D) 5

Answer»

Answer:

===>3

Step-by-step EXPLANATION:

n(U)=15

n(GERMAN)=7=n(G)

n(French)=8=n(F)

n(students who have studied NEITHER) =3

n(G∪F)=n(U)− n(students who studied neither) =15−3=12

n(G∪F)=n(G)+n(F)−n(G∩F)

12=7+8−n(G∩F)

n(G∩F)=15−12=3

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In a group of 15, 7 have studied German, 8 have studies French and 3 have not studied either.How many of these have studies both German and French?A) 0B) 3C) 4D) 5​

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In a group of 15, 7 have studied German, 8 have studies French and 3 have not studied either.How many of these have studies both German and French?A) 0B) 3C) 4D) 5