goodsamathritan's answer to Susana's Primary 6 Maths Data Analysis Singapore question.
The answer should be 99 women.
For your remaining 3 people, you can choose to put 3 women behind the first man on the left in your diagram, instead of having 2 women and 1 man on the rightmost end.
For your remaining 3 people, you can choose to put 3 women behind the first man on the left in your diagram, instead of having 2 women and 1 man on the rightmost end.
i’m afraid i don’t follow :/ could you illustrate? thanks a lot!
120 people divided into 24 groups of 5 people, where each group has 4 women and 1 man
(First Group) MWWWW MWWWW M... ...W MWWWW MWWWW (24th Group)
For the remaining 3 people, if we had 1 man and 2 women, the resulting queue would look like this :
(First Group) MWWWW MWWWW M... ...W MWWWW MWWWW MWWWW(24th group) MWW
But instead of 2 women and 1 man, you could put 3 women , in this way :
WWW (First Group) MWWWW MWWWW M... ...W MWWWW MWWWW MWWWW(24th group)
(First Group) MWWWW MWWWW M... ...W MWWWW MWWWW (24th Group)
For the remaining 3 people, if we had 1 man and 2 women, the resulting queue would look like this :
(First Group) MWWWW MWWWW M... ...W MWWWW MWWWW MWWWW(24th group) MWW
But instead of 2 women and 1 man, you could put 3 women , in this way :
WWW (First Group) MWWWW MWWWW M... ...W MWWWW MWWWW MWWWW(24th group)
hmmm but there was a total of 123 people. 120 groups of 5 would be 600?
24 groups of 5 I mean, edited
ah ok so 1 group has 5 (mwwww) and the remainder of 3 would be man (121st), woman (122nd), woman (123rd), yes? that’s 24x4+2=98?
Technically we can start off with womens first.
WWW
MWWWW
MWWWW
...
...
...
MWWWW
For a total of 24 x 4 women in 24 of the 25 rows and that WWW in the very first row, or 99 women.
We are not restricted to putting a man as the first person and a man as the last person.
If there is a restriction that the two ends have to be men, it would be much more challenging:
MWWWW
MWWWW
...
...
...
MWWWW
MWM
In this case there would be 97 women.
WWW
MWWWW
MWWWW
...
...
...
MWWWW
For a total of 24 x 4 women in 24 of the 25 rows and that WWW in the very first row, or 99 women.
We are not restricted to putting a man as the first person and a man as the last person.
If there is a restriction that the two ends have to be men, it would be much more challenging:
MWWWW
MWWWW
...
...
...
MWWWW
MWM
In this case there would be 97 women.
@goodsamathritan : as mentioned on my earlier comment :
'But instead of 2 women and 1 man, you could put 3 women , in this way :
WWW (First Group) MWWWW MWWWW M... ...W MWWWW MWWWW MWWWW(24th group) '
So it would be 3 + 24 x 4 = 99
'But instead of 2 women and 1 man, you could put 3 women , in this way :
WWW (First Group) MWWWW MWWWW M... ...W MWWWW MWWWW MWWWW(24th group) '
So it would be 3 + 24 x 4 = 99
@ Eric : can't be 97 under the condition you suggested as the last 2 men do not have 4 women between them
Lol, I mistook the question as “at most 4 women between the 2 men”. I did not read the question carefully.
I get it now :) thanks a lot guys!
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