CIS 2910 Lecture Notes - Lecture 6: Subsequence, English Alphabet
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The only way to guarantee the selection of a speci c suit, is for all other cards in the suit to be selected prior. Thus, all 13 spades, clubs, and diamonds must be selected before 3 hearts are guaranteed to be drawn. 13 3 + 3 = 42: the english alphabet has 21 consonants and 5 vowels. From the 6 spaces, we select one, which contains one of 5 vowels. 5 spaces contain one of 21 consonants, which may be repeated. Since, we are only choosing one value at a time, we will use combinations. (cid:0)6. The same process as in 2a), but we choose 2 of the 6 spaces instead. This replaces one of the 5 consonants with a second vowel. (cid:0)6. For this problem, we must consider the entire space which can contain any letter. We then subtract all instances of strings that do not contain any vowels.