A teacher is assigning 6 students to one of three tasks.she

Question

1. A teacher is assigning 6 students to one of three tasks.she will assign students in teams of atleast one student, and all students will be assigned to teams. If each task will have exactly one team assigned to it, then which of the following are possible combinations of teams to tasks? 
 
I. 90
II. 60
III. 45
 
a> I only
b> I and II only
c> I and III only
d> II and III only
e> I, II and III
 
Can somone give the clear explanation for the above Qn?

nakib77 · Answer

there are 3 possible senario

there can be 1 person group, , 1 person group, 4 person group

or 2 person group, 2 person group, 2 person group

or 1 person group, 2 person group, 3 person group



So possible combination of tems

are : 6!/ 1!*1!*4 =30

or 6!/2!*2!*2 = 90

or 6!/1!*2!*3 = 60 


So B is the answer

almighty1 · Answer

Thanx for the prompt reply nakib.....

rsanchez · Answer

nakib, which formula did u use for that solution?

cool_jonny009 · Answer

nakib77, Figured out that the group will be be 1 person group, , 1 person group, 4 person group or 2 person group, 2 person group, 2 person group or 1 person group, 2 person group, 3 person group then the total no of ways i was calculating by using following equation 6c1*6c1*6c4+6c2*6c2*6c2+6c1*6c2*6c3 what i am doing wrong here ............ :roll:

rianah100 · Answer

Answers don't make sense to me ( I could be on the wrong track here):
There are 8 ways to set up groups:
1,1,4
1,4,1
2,2,2
2,3,1
2,1,3
3,1,2
3,2,1
4,1,1

So start doing cominations and I am getting > 90

A teacher is assigning 6 students to one of three tasks.she

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