Latest TCS Aptitude Question SOLUTION: There are 3 men, 8 women, they are standing in a row for a photoshoot, in how many ways they can be arranged if no 2 men can stand together.

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There are 3 men, 8 women, they are standing in a row for a photoshoot, in how many ways they can be arranged if no 2 men can stand together.

Asked In TCS Monika Tiwari (10 years ago)

Solved RAKESH Read Solution (21)

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Read Solution (21) :

Vempa Siddhartha  (10 years ago)

since the condition is on men, so we first arrange all the 8 women. ie 8 women can be arranged in 8 places in 8! ways. and now we have 9 places in between the women where we can arrange 3 men in 9P3 ways.
Therefore the number of ways we can arrange is (8!)X(9P3)

Is this solution Helpfull? Yes (45) | No (1)  

Debojit Pal  (9 years ago)

There is restriction on the number of Men, so consideration of problem shall be done by fixing position of Women
_W_W_W_W_W_W_W_W_
In those blank spaces 3 Men can be arranged among 9 positions so that it satisfies the above condition.
No. of ways= 9P3 * 8!

Is this solution Helpfull? Yes (11) | No   

Sourav ganguly  (9 years ago)

Among 8 women there are 9 gaps..
total arrangement of boys in those gaps 9C3
they can arrange in themselves in 3!
total arrangements of women 8!
so ans will be 9C3 * 3! * 8!

Is this solution Helpfull? Yes (6) | No   

Shruti  (9 years ago)

There is no restrictions on sitting arrangements of women so 8 women can be seated in 8 places in 8P8 ways ie 8! Ways. Now there are 9 places between the women so 3men can be seated in 9 places in 9P3 ways hence total no of arrangements is 9P3×8!.

Is this solution Helpfull? Yes (5) | No   

Debojit Pal  (9 years ago)

There is restriction on the number of Men, so consideration of problem shall be done by fixing position of Women
_W_W_W_W_W_W_W_W_
In those blank spaces 3 Men can be arranged among 9 positions so that it satisfies the above condition.
No. of ways= 9P3 * 8!

Is this solution Helpfull? Yes (4) | No   

OUJASWAEE DAS  (9 years ago)

8! * 9p3
as women can sit in 8! ways and each men needs to sit between 2 women
there are such 9 places so 9p3

Is this solution Helpfull? Yes (4) | No (1)  

RAKESH  (10 years ago)

if w represents women & * for men then
for no 2 men can stand together, 3 men can be arranged at any 2 * marks out of 9

* w * w * w * w * w * w * w * w *

no. of ways= 9P3 = 504

Is this solution Helpfull? Yes (3) | No (42)  

Sushmita saxena  (9 years ago)

9P3 * 8! is the correct answer.

Is this solution Helpfull? Yes (3) | No   

RAKESH  (10 years ago)

if w represents women & * for men then
for no 2 men can stand together, 2 men can be arranged at any 2 * marks out of 9

* w * w * w * w * w * w * w * w *

no. of ways= 9P2 = 72

Is this solution Helpfull? Yes (2) | No (30)  

Aman Arora  (10 years ago)

it shud be 9c3= 9*8*7/3*2=84

Is this solution Helpfull? Yes (2) | No (7)  

ashu baweja  (10 years ago)

ways to arrange 8 women 8!
now to arrange 3 men we have 9 places
* w * w * w * w * w * w * w * w *
so 1st we select 3 place i.e. 9C3
and now arrange them i.e. 3!
so ans is 81*9C3*3!

Is this solution Helpfull? Yes (2) | No (5)  

bipin  (10 years ago)

8*7*6*5=1680

Is this solution Helpfull? Yes (1) | No (1)  

Ashutosh Lodhi  (9 years ago)

all possible ways of arranging the men and women are 11!
consider the situation in which 2 men can stand together,so possible ways of doing that is 2!*10!
similarly consider the case in which 3 men can stand together,possible ways are
3!*9!
hence in order to find out the possible ways of arranging the men and women as per the given condition is 11!-(2!*10!)-(3!*9!)

Is this solution Helpfull? Yes (1) | No   

Saptarshi Pal  (9 years ago)

_W_W_W_W_W_W_W_W_
THERE ARE 9 PLACES WHERE 3 MEN CAN STAND SO THAT NO TWO MEN WILL STAND TOGETHER.
SO, THE OF WAYS ARE=9C3=84

Is this solution Helpfull? Yes (1) | No   

prabhakar kumar  (10 years ago)

9c2=36 ans

Is this solution Helpfull? Yes | No (9)  

chakra  (10 years ago)

ways to arrange 8 women 8!
to arange men _ w_ w_ w_ w_w_w_w_w
3 men can be arranged in 9 blanks in:9p3 ways

Is this solution Helpfull? Yes | No (1)  

AMIT KUMAR SINGH  (9 years ago)

FACTORIAL(8)*9P2

Is this solution Helpfull? Yes | No   

Goldi kumari  (9 years ago)

M W W W M W W W M W W W
9P3=504

Is this solution Helpfull? Yes | No (2)  

arpita  (9 years ago)

the ans is 9P3*8!.

Is this solution Helpfull? Yes | No   

neha kiran mukkawar  (9 years ago)

first arranging the positions of 8 womens
we get 9 spaces in which 3 men are arranged
so ans is 8!*9p3

Is this solution Helpfull? Yes | No (1)  

praveen kumar  (9 years ago)

in 504 ways
as there are 8 women so the places to stand 3 men in a row so that no two men can be together=9P3
9*8*7=504

Is this solution Helpfull? Yes | No   

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