Permutation and CombinationHard

Question

You are given 8 balls of different colour (black, white,...). The number of ways in which these balls can be arranged in a row so that the two balls of particular colour (say red & white) may never come together is:

Options

A.8! - 2.7!
B.6. 7 !
C.2. 6 !. 7C2
D.none

Solution

Required number of possible is
8 ! - 2. 7 ! = 7 ! (8 - 2) = 6 . 7!
2 . 6 !  . 7C2

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