23 Find the number of permutations of all the letters of the word NOTEPAD if: a) the letters can be in any order; b) the first letter must be N; c) the vowels must stay together;

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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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23 Find the number of permutations of all the letters of
the word NOTEPAD if:
a) the letters can be in any order;
b) the first letter must be N;
c) the vowels must stay together;
d) the letters P, A, and D must remain in the same
order;
e) the letters A and N must be separated.
Transcribed Image Text:23 Find the number of permutations of all the letters of the word NOTEPAD if: a) the letters can be in any order; b) the first letter must be N; c) the vowels must stay together; d) the letters P, A, and D must remain in the same order; e) the letters A and N must be separated.
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