Question 62

Out of eight crew members three particular members can sit only on the left side. Another two particular members can sit only on the right side. Find the number of ways in which the crew can be arranged so that four men can sit on each side.

Solution

First we arrange the three person on left side and two on right side, it can be done only in 1 way.

Now for the remaining 3 persons, number of ways = $$C^3_2$$

Selecting 4 people for each side can be done in = $$4!\times4!$$ ways

=> Total number of ways = $$C^3_2\times4!\times4!$$

= $$3\times24\times24=1728$$

=> Ans - (D)

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