Groups
Written on 11:20 pm by Vja Students
Major Chaitu 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 Chaitu can make?
Answer
Major Chaitu can make 8 different possible groups
Ans is 8 ?
how only eight groups are possible? i think its 24 groups are possible.
they r
TQRUV,TQRVW,TPQVW,TPQUV,TPRVW,TPRUV
RPRUW,RPRVW,RPRUV,RPQVW,RPQUW,RPQUV,RQRUV,RQRUW,RQRVW
SPQVW,SPRUW,SQRUV,SPQUV,SPQUW,SPRVW,SPRUV,SQRVW,SQRUW.
PLEASE CONFIRM IT AND TELL ME..
The writing of the problem is slightly ambiguous. If P and R "prefer" to work together, that doesn't mean they won't accept NOT working together. The statement for T is not confusing, it's just weird (prefer to work only if).
My suggestion would be like:
"P and R must work together on the same team" (or P and R said they would only work together). "T works only if V works".