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1, In order for Alice to graduate with her friends she has to take 9 more classe

ID: 2922898 • Letter: 1

Question

1, In order for Alice to graduate with her friends she has to take 9 more classes. None of the courses are prerequisites to the others and she is eligible to take all 9 courses. She decides that she cannot handle taking more than four classes per semester. If she takes 4 classes (and presuming that all classes are available) how many different schedules can she create for next semester?

2. At a Texas college, 60% of the students are from the southern part of the state, 30% are from the northern part of the state, and the remaining 10% are from out-of-state. All students must take and pass an Entry Level Math (ELM) test. 60% of the students from southern Texas have passed the ELM, 70% of the students from the northern part of Texas have passed the ELM, and 90% of the out-of-state students have passed the ELM. What is the probablity that a randomly selected student has passed the ELM?

70.6%

66.0%

25%

63.3%

70.6%

66.0%

25%

63.3%

Explanation / Answer

We are allowed to do 1 question at a time. Post again for second question.

1) A permutation is an arrangement of all or part of a set of objects, with regard to the order of the arrangement. For example, suppose we have a set of three letters: A, B, and C. We might ask how many ways we can arrange 2 letters from that set. Each possible arrangement would be an example of a permutation.

In this question, order of classes matter, that's why we will use permutation instead of combination.

9P4 = 3024 ways