Counting To get her BA in Statistics, a student at the University must satisfy t
ID: 3047760 • Letter: C
Question
Counting To get her BA in Statistics, a student at the University must satisfy the following course requirements in the Statistics Department: Statistics 101 and 102, or 134 and 135, plus 133 and three courses chosen from among 150, 151A, 151B, 152, 153, 155, and 156. At least one of the three courses taken from among the 15x series must have a laboratory. The prerequisites and whether a course has a lab are tabulated below: Upper division Statistics Course Prerequisites Lab 01 nonc 102 101 133 none 134 none 135 101 or 134 yes 150 101 ur 134 o yos yes 151A 102 or 135 yes 1518 102 or 135 yes 152 101 or 134 yos 153 10 134yes 155 101 or 134 no 156 102 or 135 no Problem 7 How many different ways are there to choose from these twelve courses a set of six courses that satisfies the Statistics degree requirements? (Q7)Explanation / Answer
The required 6 courses can be broken down into 3 sets (as given in question):-
1. 101 and 102 OR 134 and 135
2. 133
3. 3 from 15x series (Atleast one should have a lab)
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We can choose these 3 sets separately to get all the desired sets of 6 courses to complete the BA.
Set 1: 2 ways to choose => 2
Set 2: 1 way to choose => 1
Set 3: 7C3 (any 3) - 1 (1 way to choose 3 15x series courses that do NOT have any lab) => 35-1 = 34
(Note: all prerequisites will be always met for the 15x series: because either of the given 2 courses will be taken.)
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Answer: 2*1*34 = 68 ways