In a company there are 7 executives: 4 women and 3 men. Three are selected to attend a management seminar. Find these probabilities.

a. All 3 selected will be women. b. All 3 selected will be men. c. 2 men and 1 woman will be selected. d. 1 man and 2 women will be selected.

In a company there are seven executives: four women and three men. Three are selected to attend a management seminar. Find these probabilities. (a) All three selected will be women. (b) All three selected will be men. (c) Two men and one woman will be selected. (d) One man and two women will be selected.

Speculative fiction is based on projecting from current trends and facts. Describe two possible scenarios for waste management in the year 2040. Base one on the current trend of ever-increasing waste per person. Base the other on the assumption that people will generate less waste in the future.

Defective Resistors A package contains $12$ resistors, $3$ of which are defective. If $4$ are selected, find the probability of getting
$0$ defective resistors

Freight Train Cars In a train yard there are $4$ tank cars, $12$ boxcars, and $7$ flatcars. How many ways can a train be made up consisting of $2$ tank cars, $5$ boxcars, and $3$ flatcars? (In this case, order is not important.)

Find the probability of getting a black face cards in a standard deck.

Selecting Cards Find the probability of getting $2$ face cards (king, queen, or jack) when $2$ cards are drawn from a deck without replacement.

How many different 4-letter permutations can be formed from the letters in the word decagon?

How many different 3-digit identification tags can be made if the digits can be used more than once? If the first digit must be a 5 and repetitions are not permitted?

How many ways can 4 baseball players and 3 basketball players be selected from 12 baseball players and 9 basketball players?

How many 5-digit zip codes are possible if digits can be repeated? If there cannot be repetitions?

How do you account for the slight decline in incinerated MSW from 2000 to 2005? Was this due to declining MSW overall? Explain.

$$\begin{matrix}\text{Municipal Solid Waste Trends}\\\text{(in millions of tons)}\\\end{matrix}$$

$$\begin{matrix}\text{Activity} & \text{1960} & \text{1970} & \text{1980} & \text{1990} & \text{2000} & \text{2005}\\\text{Recycling} & \text{5.6} & \text{8.0} & \text{14.5} & \text{29.0} & \text{52.8} & \text{58.6}\\\text{Composting} & \text{*} & \text{*} & \text{*} & \text{4.2} & \text{16.5} & \text{20.6}\\\text{Incineration} & \text{0.0} & \text{0.4} & \text{2.7} & \text{29.7} & \text{33.7} & \text{33.4}\\\text{Landfill} & \text{82.5} & \text{112.7} & \text{134.4} & \text{142.3} & \text{135.3} & \text{135.6}\\\text{Total Waste} & \text{88.1} & \text{121.1} & \text{151.6} & \text{205.2} & \text{238.3} & \text{248.2}\\\end{matrix}$$

Two cards are drawn from a standard deck of cards. Find the probability. P (both face cards or both red)

Cards numbered $1-10$ are shuffled and dealt face down. What is the probability that they are in order?