Answer to Question #8159 in Combinatorics | Number Theory for kamaldeep
5! = 120.
Since the formula is
where r is
(the number of positions)-1,
so now we see: combinations which don't accept 4's at the start and 54's
4! = 24
3! = 6
24+6 = 30
and we have:
120-30 = 90.
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