ZUX is a strange person who only uses the 13 letters that comprise the second half of the alphabet (N-Z). Using just the second half of the alphabet (uppercase letters only), how many strings of seven letters are there if letters can be repeated and at least one of the three following conditions is true: (i) the string starts with Z, (ii) the fourth letter is U, and (iii) the string ends with X

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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ZUX is a strange person who only uses the 13 letters that comprise the second half of the
alphabet (N-Z). Using just the second half of the alphabet (uppercase letters only), how many
strings of seven letters are there if letters can be repeated and at least one of the three
following conditions is true:
(i) the string starts with Z,
(ii) the fourth letter is U, and
(iii) the string ends with X

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