how many different portfolios are possible?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 27EQ
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Your broker has suggested that you diversify your investments by splitting your portfolio among mutual funds, municipal bond funds, stocks, and precious metals. She suggests four good mutual funds, six municipal bond funds, seven stocks, and three precious metals (gold, silver, and platinum).

(a) Assuming your portfolio is to contain one of each type of investment, how many different portfolios are possible?

(b) Assuming your portfolio is to contain three mutual funds, five municipal bond funds, one stock, and two precious metals, how many different portfolios are possible?

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