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BG
possible groups of teams
1,2,3 people per task-60 ways
2,2,2 people per task-90 ways
4,1,1 people per task-30 ways
SO (B)


Agree with B.

Three tasks hence three teams. It cannot be greater than 3 as then one task will be assigned to more than one team.
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Not able to understand it, Please can someone explain how we got 60,90, and 30 values.
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humans
Not able to understand it, Please can someone explain how we got 60,90, and 30 values.


The first combination is 1, 2 , 3

One person in a team can be chosen in 6C1
2 persons from 5 left = 5C2
3 persons from 3 left = 3C3
Hence = 6C1*5C2*3C3 = 60

The second combination is 2, 2, 2
2 persons from 6 can be chosen in 6C2
2 persons from 4 can be chosen in 4C2
2 persons from 2 can be chosen in 2C2
Hence 6C2*4C2*2c2 = 90

The third combination is 4,1,1
4 persons from 6 can be chosen in 6C4
1 person from 2 can be chosen in 2C1
1 person from 1 can be chosen in 1C1
Hence 6C4*2C1*1C1 = 30
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one more for (B)

as explained above.
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Possible combinations of TEAMS TO TASKS (Not only teams):

6 Then 1* 3 = 3
1,5 Then 6C1 * 5C5 * 6 = 36
2,4 Then 6C2 * 4C4 * 6 = 90
3,3 then ((6C2*3C3)/2!) * 6 = 60
1,1,4 then 6C1 * 5C1 * 4C4 * 9 = 270
1,2,3 then 6C1 * 5C2 * 3C3 * 9 = 540
2,2,2 then ((6C2 * 4C2 * 2C2)/3!) * 9 = 135

So its B.
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I am not sure this is the correct method but got the same anwser. Just scanned the coices and saw which choices were divible by 6.
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jaynayak
humans
Not able to understand it, Please can someone explain how we got 60,90, and 30 values.

The first combination is 1, 2 , 3

One person in a team can be chosen in 6C1
2 persons from 5 left = 5C2
3 persons from 3 left = 3C3
Hence = 6C1*5C2*3C3 = 60

The second combination is 2, 2, 2
2 persons from 6 can be chosen in 6C2
2 persons from 4 can be chosen in 4C2
2 persons from 2 can be chosen in 2C2
Hence 6C2*4C2*2c2 = 90

The third combination is 4,1,1
4 persons from 6 can be chosen in 6C4
1 person from 2 can be chosen in 2C1
1 person from 1 can be chosen in 1C1
Hence 6C4*2C1*1C1 = 30


Thanks Jay for the wonderful explanation. :)



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