#Pnc
devout dustBOT
lapis jetty
hi
aa gya
@waxen magnet
idhar aa
hum pnc me sabse pehle ye samajhne ki koshish karte hain ki hum actually kya count kar rahe hain. counting ka matlab sirf number nikalna nahi hota, balki ye decide karna hota hai ki kaunsi situations alag mani jaayengi aur kaunsi same.
yes sab basic counting hot hi bas yhi he pnc mein sab condiion kabhi restriction kabhi circular arrangement. waise tune bola basic ata ye smjha?
kisi scene mein
jab bhi hum do outcomes ko compare karte hain, pehla sawal ye hota hai ki kya unka identity change ho raha hai ya nahi. agar identity change hoti hai, to unko alag count karna padega. agar identity same rehti hai, to unko ek hi outcome maana jaata hai.
samjh cricket ki team banani he toh tu suresh ramesh aur mukesh ko leta he toh fir woh team me agay, isme dusra kuch pucha nahi he bas tujhe team banani he 1 ko pehle le ya dusre ko team mein wo rahenge aisa nai bol sakta ki
pehle suresh ko liya phir ramesh aur mukesh
aur pehle mukesh fir ramesh toh alag case he
abhi batting krne pehle kaun jaega usme order matter krta he
accha sahi
ki galat
lapis jetty
order ko tum jagah ya position ke sense me samajh sakte ho. lekin har jagah important nahi hoti. jagah tab important hoti hai jab wo distinguishable ho, matlab ek jagah ko doosri jagah se pehchaana jaa sake., aur phir question bhi depend krta
captain and vice-captain are different positions.
So order matters.
but we are choosing only 2 roles, not permuting all players.
english ka khel
agar positions labeled hain, jaise seat number 1 aur seat number 2, to unme baithne wale log swap karoge to outcome change ho jaata hai. isliye yaha order matter karta hai.
order matter karta hai, to hum arrangement ki baat kar rahe hote hain, aur arrangement naturally permutation ki taraf le jaata hai.
waise hindi ha toh beech mein voice type kar rha hu
selection me positions ka koi role nahi hota. yaha sirf ye matter karta hai kaun kaun selected hai, ye nahi ki wo kis order me likhe gaye hain.
selection ko tum group ya team ki tarah soch sakte ho
jaha sirf members important hote hain. aise cases me a b aur b a ek hi group represent karte hain.
agra factorial ki baat kre
to factorial koi formula ka part nahi hai, factorial counting ka natural result hai aisa soch sakte ho, jaise 1 row mein objects arrange krte samaj n(n-1)...
lapis jetty
selection ko tum group ya team ki tarah soch sakte ho
makes sense
or no
ha kuch log box bolte he
abhi kuch formula diye honge bta
noice
hollow hull
If you know formulas then just practice more so that you can get the logical thinking
That's it bro
Nothing more to do in pnc
Ig :)
lapis jetty
waise brackets use krne chahiye
lapis jetty
If you know formulas then just practice more so that you can get the logical thi...
indeed pnc mein practice aur experience kam ata he aur kuch nahi he
hollow hull
It happens but the key to it is practice bc listening from someone else on how to solve Pnc is like just spoon feeding
Lol i interrupted in mid and the whole convo between u both broke up
Sryy xD
lapis jetty
Lol i interrupted in mid and the whole convo between u both broke up
nah its alright you should interrupt if you want to add on
hollow hull
Then I will always be there to help :)
lapis jetty
i want you to try this
very basic q
intereseting i have not seen people do it like that
go on
uh, mix krdiya
form what i understand you chose to make total arrangements then subtract those which have 0 in 1st place toh iss method mein,
total count krne ke liye 0 first place mein aa sakta he
aur fir woh cases subtract kr denge jisme 0 first place mein he
*5 last ka
,calc (987655) - (8765*4)
still sandalBOT
Result:
68880
ha sahi he
case lete he 0 in last place fix, 0 not in last place aur no zero wala
pnc bas case work he kabhi kabhi
woh texit he
idhar kabhi kabhi latex krne ke liye use krt he
$test$
still sandalBOT
firestepper
lapis jetty
chatgpt se sikha?
a team of $10$ players is to be chosen from $15$ players.
\begin{enumerate}
\item find the number of different teams that can be chosen if there are no restrictions.
\item the $15$ players include $3$ sisters who must not be separated. find the number of different teams that can be chosen.
\end{enumerate}
still sandalBOT
firestepper
lapis jetty
mein bhi kabhi kabhi image to latex krta hu ai
lapis jetty
**firestepper**
ye kar
sister mein 3 select ho giy toh
baki kaisekregs
sahi
final answer nahi he
aur ek case he waise ye bhi dhyan rakhna he ki ye cases mutually exclusive bhi hain. ek case me teeno sisters team me hain, doosre case me ek bhi nahi hai. koi overlap possible nahi.
ha
thik he
still sandalBOT
Tester
lapis jetty
ok
maan le AAB ka permutation normally n! se krega toh, 3! leki cases kya banenge
ek A1 aur dusra A2 manle
fir
A1A2B
A2A1B
index hata de dono same he is type ke permutation ka overcount hota he
toh isiliye jitne identical he har type ke usse dividie krte
example: MISSISSIPPI
total = 11
I = 4, S = 4, P = 2
$$
\frac{11!}{4!4!2!}
$$
still sandalBOT
firestepper
lapis jetty
in how many ways can the letters of the word
Statistics
ye bhi easy wale hein
pehle sab identical wale dhundkar fir restricition apply krni pdegi
ye sab letters sab alag alag hote, koi repeat nahi hota, tab total arrangements kya hoti.
ha
ha sahi waise \ aur $$ lgna pdta he
still sandalBOT
Tester
