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Difficulty:
15%
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Question Stats:
88% (01:48) correct
13%
(02:16)
wrong
based on 40
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A team of two students from an art school is to be selected to represent the school at a national event. The two students will be selected from the students in three classes that have no students in common. The three classes have 10 students, 8 students, and 7 students. If the two students must be selected from different classes, how many teams are possible?
A. 94
B. 150
C. 206
D. 300
E. 560
A. 94
B. 150
C. 206
D. 300
E. 560
21 Nov 2022, 22:59
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We need to select two students from three different classes with a constraint that the two students must be selected from different classes.
Assume, that class A as 10 students , class B has 8 students and class C has 7 student. The two students can be either from class A and class B; or class B and class C ; or class C and class A.
We can select one child from each class, and the sum of all possible selections is 206.
The working is attached.
Option C
Assume, that class A as 10 students , class B has 8 students and class C has 7 student. The two students can be either from class A and class B; or class B and class C ; or class C and class A.
We can select one child from each class, and the sum of all possible selections is 206.
The working is attached.
Option C
Attachments
Screenshot 2022-11-22 112244.png [ 100.16 KiB | Viewed 1650 times ]
