(a) How many words have length 10 in this set? (b) A word is called special if it is lexicographically strictly smaller than any of its proper suffixes. For example, "ababb" is special. How many words of length 10 are special?
(a) How many words have length 10 in this set? (b) A word is called special if it is lexicographically strictly smaller than any of its proper suffixes. For example, "ababb" is special. How many words of length 10 are special?
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 36SE: The number of 5-element subsets from a set containing n elements is equal to the number of 6-element...
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Transcribed Image Text:1.
2.
Consider the set of words (character strings) consisting "a" and "b", e.g. "aaba", "bbaba".
(a) How many words have length 10 in this set?
(b) A word is called special if it is lexicographically strictly smaller than any of its proper suffixes.
For example, "ababb" is special. How many words of length 10 are special?
Suppose that two identical decks of 52 distinct cards (total 104 cards) are mixed together
and are randomly divided into 13 hands of 8 cards each. What is the probability that no hand has
more than one ace?
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