Space shuttle astronauts each consume an average of 3000 calories per day. One meal normally consists of a main dish, a vegetable dish, and two different desserts. The astronauts cam choose from #a main dishes, #b vegetable dishes, and #c desserts. How many different meals are possible?
#a people compete in a downhill ski race. Assuming that there are no ties, in how many different orders can the skiers finish?
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In how many ways can the letters A, B, C, D, E, and F be arranged for a six-letter security code?
The starting lineup for a softball team consists of ten players. How many different batting orders are possible using the starting lineup?
A Lottery has #a numbers. In how many different ways can #b of the numbers be selected? (Assume that the order of selection is not important.)
]]>There are #a processes involved in assembling a certain product. These processes can be performed in order. Management wants to find which order is the least time-consuming. How many different orders will have to be tested?
]]>A landscaper wants to plant #a oak trees, #b maple trees. and #c poplar trees along the border of a lawn. The trees are to be spaced evenly apart. In how many distinguishable ways can they be planted?
]]>In order to conduct an experiment, #a subjects are randomly selected from a group of #b subjects. How many different groups of #a subjects are possible?
]]>In how many distinguishable ways can the letters in the word statistics be written?
]]>From a group of #n people, a jury of #r people is selected. In how many different ways can a jury of #r people be selected?
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A horse race has #a entries. Assuming that there are no ties, what is the probability that the tree horses owned by one person finish first, second, and third?
A pizza shop offers #t. No topping can be used more than once. What is the probability that the toppings on the pizza are pepperoni, onions, and mushrooms?
You look over the songs on a jukebox and determine that you like #r of the #n songs.
The offices of president, vice president, secretary, and treasurer for an environmental club will be filled from a pool of #n candidates. Six of the candidates are members of the debate team.
In a certain state, each automobile license plate number consists of #a letters followed by a #b-digit number. How many distinct license plate numbers can be formed if:
A password consists of #a letters followed by a #b-digit number. How many passwords are possible if:
An ares code consists of three digits. How many area codes are possible if:
In how many orders can #a broken computers and #b broken printers be repaired if:
A shipment of #a microwave ovens contains #b defective units. In how many ways can a restaurant buy three of these units and recieve:
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In a state lottery, you must select #r numbers (in any order) out of #n correctly to win the top prize.
A company that has #n employees chooses a committee of #r to represent employee retirement issues. When the committee was formed, none of the #m minority employees were selected.
You are dealt a hand of five cards from a standard deck of playing cards. Find the probability of being dealt a hand consisting of:
2. Draw one card: A = {ace} and B = {spade}
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]]>Event A: Randomly select a female worker.
Event B: Randomly select a worker with a college degree.
{#1}
Event A: Randomly select a member of U.S. Congress.
Event B: Randomy select a male U.S. Senator.
{#2}
Event A: Randomly select a person between 18 and 24 years old.
Event B: Randomly select a person between 25 and 34 years old.
{#3}
Event A: Randomly select a person between 18 and 24 years old.
Event B: Randomly select a person earning between $20,000 and $29,999.
{#4}
Nursing majors | Non-nursing majors | Total | |
Males | 95 | 1015 | 1110 |
Females | 700 | 1727 | 2427 |
Total | 795 | 2742 | 3537 |
Gender | ||||
Men | Women | Total | ||
DominantHand |
Left | 63 | 50 | 113 |
Right | 462 | 425 | 667 | |
Total | 525 | 475 | 1000 |
Frequently | Occasionaly | Not at all | Total | |
Male | 221 | 456 | 795 | 1472 |
Female | 207 | 430 | 741 | 1378 |
Total | 428 | 886 | 1536 | 2850 |
Contacts | Glasses | Both | Neither | Total | |
Male | 64 | 841 | 177 | 456 | 1538 |
Female | 189 | 427 | 368 | 681 | 1665 |
Total | 253 | 1268 | 545 | 1137 | 3203 |