Major Jasbir is forming five-person Special Task Group. The
group must contain one leader, two bomb-experts and two
soldiers.
P, Q and R are possible bomb-experts. R, S and T are
possible leaders. U, V and W are possible soldiers. Also, P
and R prefers to work with each other in the same team. T
prefers to work only if V works.
How many different possible Groups, Major Jasbir can make?
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Answer Posted / guest
Major Jasbir can make 8 different possible groups.
As 2 bomb-experts to be selected from the given 3 and also P
& R prefers to work together, PR must be there in all the
possible Groups. Also, T prefers to work only if V works. It
doesn't mean that V won't work without T.
Hence, possible groups are:
PR - S - UV
PR - S - VW
PR - S - WU
PR - T - UV
PR - T - VW
PQ - R - UV
PQ - R - VW
PQ - R - WU
Hence, there 8 different groups are possible.
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