GMAT Question of the Day: Problem Solving

deepak
#1. August 27th, 2008, at 12:20 PM.

I tink the ans is b.

tbbt
#2. August 27th, 2008, at 12:27 PM.

C

uv
#3. August 27th, 2008, at 2:19 PM.

c

ashwin04
#4. August 27th, 2008, at 2:35 PM.

the answer is b.
The solution is here suppose there are 4 companies a,b,c,d.
now the equation according to problem above would be like this

Company : Men Women
if a-1 men then i have to choose 1 men from b.c.d suppose b 1 men then we have 1 women from c and d respectively.

now can can have like this 6 iterations like this
a-1M b-1M c-1W d-1W
a-1M c-1M b-1W d-1W
a-1M d-1M b-1W c-1W
b-1M c-1M a-1W d-1W
b-1M d-1M a-1W c-1W
c-1M d-1M a-1W b-1W

it means simply ab ,ac ,ad , bc, bd, cd.for men and women all iteration .

So for N=4 we have sol=6 substitute n=4 in the answer choices and b gives us 6 as sol not any other choice .

If you want you can try for even n=6 and b will again get satisfied .

Radhika
#5. August 27th, 2008, at 4:45 PM.

I think the answer is A.
Soln:
In n/2 offices, any 1 member can get selected so the number of ways would be n/2* 2C1 i.e n/2*2 = n
In the remaining n/2 offices, there is only 1 choice (1 way in which either men or women can be selected) to balance out the number of men and women to be selected i.e n/2
thus the no. of ways is n*n/2 i.e n^2/2 i.e option A.

Radhika
#6. August 27th, 2008, at 5:19 PM.

Sorry its wrong…

Radhika
#7. August 27th, 2008, at 5:19 PM.

Is the ans E?

shilpa
#8. August 27th, 2008, at 9:02 PM.

Answer is c

So there will be 2n members, n male and n female members.

we have to select only 1 from each office so its

nC0.5 * nC0.5

n!/0.5!(n-0.5!) * n!/0.5!(n-0.5!)

n! square/0.5n!square*(n-0.5n!)square

square of (n!/0.5n!*n-0.5n!)

square of (n!/0.5n!square - 0.25n!square)

square of ( n! / 0.5n!square )

square of (n! / 0.5n! * 0.5n!) answer

shilpa
#9. August 27th, 2008, at 9:06 PM.

Answer is c
So there will be 2n members, n male and n female members.

we have to select only 1 from each office so its

nC0.5 * nC0.5

n!/0.5!(n-0.5n!) * n!/0.5!(n-0.5n!) (sorry i missed n in first post)

n! square/0.5n!square*(n-0.5n!)square

square of (n!/0.5n!*n-0.5n!)

square of (n!/0.5n!square - 0.25n!square)

square of ( n! / 0.5n!square )

square of (n! / 0.5n! * 0.5n!) answer

Yao
#11. August 27th, 2008, at 11:09 PM.

My take is that its D.

Shilpa, there is something fundamentally wrong with this expression: nC0.5 * nC0.5. You cannot choose non-integer from a sample set of n.

So here is the breakdown of the rules:
1. A total of n males and n females are recommended from all offices
2. No committee members can be from the same regional office as each other
3. There are only n/2 female slots and n/2 male slots

Lets say u select the female members first, starting with n females for n/2 open slots.
there will be: n*(n-1)*(n-2)…(n/2 + 1) different possible combinations
That expression can be simplified into: n!/(n/2)!

Now for the guys, the same rules apply except u do not start with n males. You start with n/2 males and hence all the males are selected automatically since no 2 members can be from the same office. No new combination will result from this automatic selection so the result is n!/(n/2)!

ashih
#12. August 28th, 2008, at 7:23 AM.

its b

Immanuel Ashok
#13. August 28th, 2008, at 4:36 PM.

Yes my take too is D!

Leon
#14. August 28th, 2008, at 9:10 PM.

can anybody tell where can I get RIGHT answer with explanation?

Basant
#15. August 29th, 2008, at 1:49 PM.

my ans is B

The Don
#16. August 29th, 2008, at 11:14 PM.

B, see ashwin’s explanation

peeps
#17. August 30th, 2008, at 10:20 PM.

yeah it’s B alright.

shakya
#19. August 31st, 2008, at 4:48 PM.

b for me

Doom
#20. September 12th, 2008, at 4:27 PM.

answer is B

Susan
#21. September 23rd, 2008, at 2:22 PM.

raviraushanjha,

c OR b?
What is the correct answer?