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There is a set of 10 integers {0,1,2,3,....

There is a set of 10 integers `{0,1,2,3,...,9}`. In how many ways you can permute this set of integers such that either 3 and 6 or 5 and 4 or 6 and 5 appear consecutively?
(For example, we do not count (4,5,0,6,9,2,3,7,8,1), as we want 5 and 4 to appear consecutively in that order. But we count (7,2,0,1,4,3,6,5,8,9), both 3 and 6 and 5 appear consecutively in it.)

A

962640

B

960049

C

368460

D

313200

Text Solution

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The correct Answer is:
A
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