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Re: can solve it this way? [#permalink]
Expert Reply
abhijith13 wrote:
the question states not necessarily after


Hey you are right. The new explanation.

Let us investigate Luke at different positions.

For example:
Luke at Position 1: Ruth can be at 5 different positions and other 4 can be at any position that available after Ruth.

Lukes PositionNumber of options for Ruths PositionNumber of ways to arrange the Remaining 4
Position 154!
Position 244!
Position 334!
Position 424!
Position 514!
Position 604!


Thus total number of ways of arrangement = \((5+4+3+2+1+0)*4!=360\).

Thanks for the correction.
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Prep Club for GRE Bot
Re: can solve it this way? [#permalink]
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