Question
Aditya and Dhana sit for the selection of a six member team for a project X in company Z. If the team is to be split up into 2 three-person sub-teams, the percent of all the possible subteams that include Aditya also include Dhan is___
Answer:
:
Since we have fixed the selection of Aditya, the grouping of the remaining people into 2 groups containing 3 members each can be done in 5!(2!×3!) ways =10 ways
Now, if both Aditya and Dhan are selected, 2 out of the three members in a sub-team are already selected. The third person can be anyone of the remaining 4, which means that we have 4 different possibilities.Thus, the percent of all possible subteams that include Aditya, also include Dhan = 410=40%
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:
Since we have fixed the selection of Aditya, the grouping of the remaining people into 2 groups containing 3 members each can be done in 5!(2!×3!) ways =10 ways
Now, if both Aditya and Dhan are selected, 2 out of the three members in a sub-team are already selected. The third person can be anyone of the remaining 4, which means that we have 4 different possibilities.Thus, the percent of all possible subteams that include Aditya, also include Dhan = 410=40%
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