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# 14_Counting - 33 Consider strings of eight English letters...

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33. Consider strings of eight English letters. Count (d) strings that start with a vowel, letters cannot be repeated (g) strings that start with x and contain at least one vowel; letters can be repeated = number of strings that start with x - number of strings that start with x but do not have a vowel 47. Consider the problem of forming a row of 6 people, including a bride and a groom, for picture taking. Count the number of ways a row can formed if (a) the bride and groom must be next to each other. (b) the bride and groom must not be next to each other = total # of ways to seat 6 people - the count in part (a) (c) # of ways in which the bride is to the left of the groom 10/11/11

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46. Seating of six out of 10 people including the bride and the groom for a picture. (a) The bride must be in the picture. Two subtasks: pick a place to seat the bride; pick people to seat the remaining five positions Total ways = 6* (9*8*7*6*5) 47 (c) Alternative counting technique First form a line with the other 4 people in 4! ways
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14_Counting - 33 Consider strings of eight English letters...

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