Question

There are 5! numbers that can be written with the digits 1, 2, 3, 4, 5,...

There are 5! numbers that can be written with the digits 1, 2, 3, 4, 5, such that no digit is repeated.

Suppose that these numbers are listed in increasing order (12345, 12354, 12435, 12453, . . .).

(a) In this list, what is the position of the number 35421?

(b) What is the 100-th entry in the list?

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Answer #1

viiitten uu dis 1,2, 3,4,5 han an, 51234 98 s 51243 9 i 51324 lod lA wo is 51342 oreny is 51342 512x» 98 513 »* 99-100 la) 25>48 32 55> 60 Avne. 3542 s na 35 1 67→ 68 352** 67→70 354 12 커sr no. 354 21 12nd o

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