Combi problem (with number theory I suppose?)

This is not relevant for jee but the first part was easy but the second one seems to elude me, case-working for small numbers didn't help either.
No description
18 Replies
iTeachChem Helper
@Apu
iTeachChem Helper
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.
Opt
Opt3mo ago
Ooohhh this looks fun
SirLancelotDuLac
SirLancelotDuLacOP3mo ago
Ikr. Randomly stumbled upon a nice book.
Opt
Opt3mo ago
Which ?
SirLancelotDuLac
SirLancelotDuLacOP3mo ago
I was tryna download 102 problems in combi, but accidentally wrote 50. So this is "50 challenging problems in combinatorics" Okay, using a calculator it seems 6 and 15 case works but seems hectic without the same :/
Opt
Opt3mo ago
Yeah You need to check 8r²-8r+1 for being a perfect square right?
SirLancelotDuLac
SirLancelotDuLacOP3mo ago
Making a quadratic in the total number of socks right?
Opt
Opt3mo ago
Yup
SirLancelotDuLac
SirLancelotDuLacOP3mo ago
Tried the above, but didn't seem to work.
Opt
Opt3mo ago
@SirLancelotDuLac this works ig?
No description
Opt
Opt3mo ago
b is no.of black n is total
SirLancelotDuLac
SirLancelotDuLacOP3mo ago
Plugging the answer in the original condition contradicts tho...
Opt
Opt3mo ago
Yeah idk what happened
SirLancelotDuLac
SirLancelotDuLacOP3mo ago
Hm...I don't see anything wrong tho :sweaty:
Opt
Opt3mo ago
Maths ain't mathing
SirLancelotDuLac
SirLancelotDuLacOP3mo ago
+solved @Opt
iTeachChem Helper
Post locked and archived successfully!
Archived by
<@1075951732460376214> (1075951732460376214)
Time
<t:1750128423:R>
Solved by
<@763645886500175892> (763645886500175892)

Did you find this page helpful?