Discrete Mathematics
# Permutations

How many 5 digit numbers can be formed if *either*

(a) every successive digit exceeds its predecessor,
*or*

(b) every successive digit is smaller than its predecessor.

Detail: Leading 0's don't count, aka 04521 is not a 5-digit number.

Note: If the probability is 1%, enter it as 0.01.

\[\huge INTERMEDIATE\] How many words can be made with the letters of the word \(INTERMEDIATE\) if the order of vowels doesn't change ?

The "order of the vowels" refers to the sequence in which they occur. IE the sequence should be \( I - E - E - I - A - E \).

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