Question 199697
A license plate is to consist of three letters followed by two digits. How many different license plates are possible if the first letter must be a vowel (a, e, i, o, u), and repetition of letters is not permitted, but repetition of digits is permitted?
Ans: 5*4*3*10*10 = 6000
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(3 pts) The results of a survey for an airline are shown below 
Traveler Male Female Total
Business  47   72    119
Vacation  71   64    135
Total    118  136    254 


Use the chart to find the probability 
that the traveler was male = 118/254 
on vacation given the traveler was female = 64/136
male given the traveler was on vacation 71/135
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(2 pts) In how many ways can 6 instructors be assigned to six sections of a course in mathematics? 
Ans: 6! = 720 ways
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(4 pts) At an annual flower show, 7 different entries are to be arranged in a row.
Ans: 7! = 5040 ways
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a) How many different arrangements of the entries are possible?
What entries?
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b) If the owners of the 1st, 2nd, and 3rd place entries will be awarded prizes of $100, $50, and $25 respectively, how many ways can the prizes be awarded?
Ans: 3! = 6
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Cheers,
Stan H.