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 five good mutual funds, four municipal bond funds, six 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?

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

choices