of thel are Bu without replacement. dependent H- p45 4-1 2. A license plate must
ID: 3053240 • Letter: O
Question
of thel are Bu without replacement. dependent H- p45 4-1 2. A license plate must have two letters (not I or O) followed by three digits. The last digit cannot be zero. How many pos- sible plates are there? 518,400 4. A store has 15 sofas, 12 lamps, and 10 tables at half price. How many different combinations of a sofa, a lamp, and a ta- ble can be bought at the sale? 1800 6. A car dealer offers a choice of 6 vinyl top colors, 18 body colors, and 7 upholstery colors. How many color combinations are there? 756 8. Using the ferry boats in problem 7, how many different ways can a traveler make a round trip, but return on a different ferry boat from the one she went on? 12 10. How many ways can six books be placed on a shelf if the only dictionary must be on an end? 240 12. How many of the patterns in exercise 11 begin with a vowel and end with a con- sonant? 240Explanation / Answer
Question 2
Here there are possible combinations are for initial two letters are = 24 * 24
for next 3 positions for total combination = 10 * 10 * 10
but all these (10 * 10 * 10) possibilities include possibilities where 0 as last digit involved.
so total possibilities where 0 is last digit = 10 * 10 = 100 [ as last number is fixed here]
so total possibilities = 24 * 24 * (10 * 10 * 10 - 10 * 10) = 518400
Question 4
Here total number of combination of sofa, lamps and tables = 15 * 12 * 10 = 1800
Question 6
Total color combinations = mutiplication of all color = 6 * 18 * 7 = 756
Question 8
Question number 7 is not given
Question 10
Here it is given that dictionary is on the end so there is 2 places it can be placed. Now, there are 5 other books which can take 5 different places
so Total number of combinations = 2 * 5! = 240
Question 12
Question 11 is not given here
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