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Statistics / Introduction to Probability, 2 / Chapter 1 / Problem 56

Introduction to Probability, | 2nd Edition | ISBN: 9781886529236 | Authors: Dimitri P. Bertsekas John N. Tsitsiklis

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An academic department offers 8 lower level courses: {L1 ,

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QUESTION:

An academic department offers 8 lower level courses: {L1 , L2, .... Ls} and 10 higher level courses: {H 1. H 2 .. H 10 }. A valid curriculum consists of 4 lower level courses. and 3 higher level courses. (a) How many different curricula are possible? (b) Suppose that {H1 .... , H5} have L1 as a prerequisite, and {H6 , '" HlO} have L2 and L3 as prerequisites. i.e .. any curricula which involve, say, one of {H 1, ... , H5} mllst also include L1 . How many different curricula are there?

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QUESTION:

An academic department offers 8 lower level courses: {L1 , L2, .... Ls} and 10 higher level courses: {H 1. H 2 .. H 10 }. A valid curriculum consists of 4 lower level courses. and 3 higher level courses. (a) How many different curricula are possible? (b) Suppose that {H1 .... , H5} have L1 as a prerequisite, and {H6 , '" HlO} have L2 and L3 as prerequisites. i.e .. any curricula which involve, say, one of {H 1, ... , H5} mllst also include L1 . How many different curricula are there?

ANSWER:

Step 1 of 4

Given:

The number of lower level courses that an academic department offer is 8.

The number of higher level courses that an academic department offer is 10.

A valid curriculum consists of 4 lower level courses. and 3 higher level courses.

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