1. In how many ways can an investor put together a portfolio offive stocks and s

Question

1. In how many ways can an investor put together a portfolio offive stocks and six bonds selected from her favorite nine stocksand eight bonds?

2. From 6 women and 4 men a committee of three is to be formed. Thecommittee must include at least two men ( two men or threemen). In how many ways can this be done?

3. From a box containing 5 white, 1 yellow, and 2 green balls, 2blue balls are drawn one at a time without replacing the firstbefore the second is drawn. Find the probability that 1 white and 1green ball are drawn.

4. A coin is to be tossed 6 times. What is the probability ofobtaining exactly 3 tails?

5. A certain state's Automobile license plates are embossed withfive numbers followed by 2 letter. Assuming that there are norestrictions on numbers or letters, how many different licenseplates can be made?

Explanation / Answer

1. (9*8*7*6*5)*(8*7*6*5*4*3) =15120*20160 =304,819,200 2. (4*3*8) =96 3. (5/10)*(2/9)+(2/10)(5/9) 1/9 + 1/9 =2/9 or .2222 or 22.22% 4. (.5)(.5)(.5)(.5)(.5)(.5) =.01625 or 1.625% 5. 26*26*26*26*26*10*10 =1,188,137,600

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