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At a high school, students can choose between three art electives, four history electives, and five computer electives. Each
student can choose two electives.
Which expression represents the probability that a student chooses an art elective and a history elective?
P2
12P2
(3C₂) GC)
12C2
(P2)GP1)
12P2
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carvahloc663

Answer:

The correct answer is c

Answer:

P = [tex]\frac{3C1 * 4C1}{12C2}[/tex]

Step-by-step explanation:

Number of art electives = 3

Number of history electives = 4

Number of computer electives = 5

Total number of electives = 12

The number of ways of selecting 1 art elective = [tex]3C1[/tex]

Number of ways of selecting 1 history elective = [tex]4C1[/tex]

Number of ways of selecting 2 electives from 12 electives = [tex]12C2[/tex]

Probability that a student chooses an art elective and a history elective

P = [tex]\frac{3C1 * 4C1}{12C2}[/tex]

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