Sequence combinatory

Probability theory and statistics

Sequence combinatory

Postby Guest » Sun Sep 18, 2022 9:51 am

I'm struggling with this problem can you guys help me?
Let S be the set of all sequences (a, b, c, d, e) with expressions belonging to the set of numbers {0.1,..., 9}. How many sequences are there in the set S
a) decreasing?
b) whose product abcde is an even number?
c) in which the sum of the digits of the product abcde in decimal notation is divisible by 9?

Thanks for responding
Guest
 

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