(a) How many ways are there to pick 7 objects out of a set of 25 objects? (b) How many bitstrings of length 25 have exactly 7 1s? (a) How many permutations of the letters ABCDEFGH does there exist? (b) How many permutations of the letters ABCDEFGH contain the string AB? (c) How many permutations of the letters ABCDEFGH contain the strings ABC and HG? Answer:
(a) How many ways are there to pick 7 objects out of a set of 25 objects? (b) How many bitstrings of length 25 have exactly 7 1s? (a) How many permutations of the letters ABCDEFGH does there exist? (b) How many permutations of the letters ABCDEFGH contain the string AB? (c) How many permutations of the letters ABCDEFGH contain the strings ABC and HG? Answer:
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 39SE: How many arrangements can be made from the letters of the word “mountains” if all the vowels must...
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