PnC: why am I wrong?
This is the logic I used:
1st slot: 2 possibilities (out of the ladies)
2nd slot: 2 possibilities (out of the old men)
In the next 2 slots, anyone can fit (since "at most 2 young men" can't get violated when there are only 2 slots left)
So for the next 2 slots since order doesn't matter, 6C2 possibilities = 15 possibilities
Total = 2 times 2 times 15 = 60
But that's not an option, so where'd I go wrong?
14 Replies
@Apu
Note for OP
+solved @user1 @user2... to close the thread when your doubt is solved. Mention the users who helped you solve the doubt. This will be added to their stats.is 41 the ans ?
yes
i am getting 60 too , how did you get 41 , can you explain
when someone answeres please ping me too
case 1 : 0 young men
therefore 2 ladies 2 old men : only 1 possibility
case 2 : 2 young men
therfore 1 lady 1 old man
total possibilites 4c2 * 22 = 24
case 3 : 1 young man
subcase : 1 young man , 1 lady , 2 old men , possibilites = 42
subcase : 1 young man 2 lady , 1 old man possibilities = 4*2
total = 8+8 =16
total case = 1+24+16
@Gamertug @Nimboi
wait a sec
why does this give diff ans
Overcounting occurs in this way:
Suppose the case L1 pehle slot mein aa gayi and another case L2 3rd slot mein and L1 third mein and L2 first mein. Both the cases are same no?
I didn't understand :sweaty:
Here order doesn't matter right
So I thought by pre-assigning 2 slots we're just making sure those conditions are fulfilled
Consider this:
-, -, -, -
If you put one lady on first slot and another on third slot that is one case
If you put the other lady on first slot and the first one on third slot that is another case
Here first slot is the one which choses only out of the two women and the third slot is the one which chooses openly.
Ohhh
So I accidentally counted that case twice
Which is why that method doesn't work
That makes more sense
@Gamertug you were confused too so lmk when you've seen this so I can mark as solved
Thanku vm
wait
ladies are distinct
shouldnt that count as diff ways
how same
wait nvm am dumb asf
yes i got it
+solved SirLancelotDuLac hardcoreisdead
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