numbers are formed using all the digits 1, 2, 3, 4 ,5, 7, 8,9 without repetition....
numbers are formed using all the digits 1, 2, 3, 4 ,5, 7, 8,9 without repetition. Determine the number of possible permutations in the following case. Show all steps in factorial form before final answers.
9 is before 1 but not necessarily adjacent to it. i.e, 912345678 or 234956178
Homework Answers
1,2,3,4,5,6,7,8,9
we use permution for all arrangement
nPr=9P9=362880
=n
!/
(n-r)!
=9!/ (9-9)!
=9!/1
=9*8*7*6*5*4*3*2*1=362880
but 9 is before 1 but not necessarily adjacent to it
8P8
nPr=8P8=40320
=n!/
(n-r)!
=8!/ (8-8)!
=8!/1
=8*7*6*5*4*3*2*1
=40320
but 9 is before 1 but not necessarily adjacent to it 40320
THANKS
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