yrelhan4
  • yrelhan4
If 7 smallest squares are chosen at random from a chessboard then the probability that they lie on diagonal, is ?
Mathematics
schrodinger
  • schrodinger
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yrelhan4
  • yrelhan4
yrelhan4
  • yrelhan4
DLS
  • DLS
smallest square?

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DLS
  • DLS
nahi,nahi ho sakta :O galat question hai :|
yrelhan4
  • yrelhan4
nvm. i think... i got it. http://www.allinterview.com/showanswers/8354.html
yrelhan4
  • yrelhan4
But a better explanation would be even better..
DLS
  • DLS
There are total of 64 blocks on a chessboard. So 3 blocks can be chosen out of 64 in 64C3 ways. So the sample space is = 41664 There are 2 diagonal on chessboard each one having 8 blocks. Consider one of them. 3 blocks out of 8 blocks in diagonal can be chosen in 8C3 ways. But there are 2 such diagonals, hence favourables = 2 * 8C3 = 2 * 56 = 112 The require probability is = 112 / 41664 = 1 / 372 = 0.002688
DLS
  • DLS
hope u got it :)
yrelhan4
  • yrelhan4
:/
shubhamsrg
  • shubhamsrg
7 chosen ki 3 chosen ?
yrelhan4
  • yrelhan4
7 choslo..
DLS
  • DLS
merko samaj agaya shayad :/
shubhamsrg
  • shubhamsrg
oh, 7 choslo hai..hmm mera to 18/C(64,7) aa raha hai :3
yrelhan4
  • yrelhan4
umm. upar 20 hai.. 20/64C7..
shubhamsrg
  • shubhamsrg
ohh :O hmm
DLS
  • DLS
merko samaj agaya 20 kyun hai :")
DLS
  • DLS
!!!!!!
yrelhan4
  • yrelhan4
kyun??
DLS
  • DLS
wait upload karta hooon drawing
shubhamsrg
  • shubhamsrg
aa gaya 20 yo maine 1 diagnol miss kar diya tha
yrelhan4
  • yrelhan4
abbe koi mereko btayega? :/
shubhamsrg
  • shubhamsrg
dekho 8 sq. wale 2 diagnols hote hain 7 sq wale 4 diagnols hote hain hai na?
DLS
  • DLS
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DLS
  • DLS
3 tarah se le sakte hai 8c7 lelia aur 7c7 aur 7c7 se bhi
DLS
  • DLS
baaki green waaale nahi le sakte 7 nahi hai condition satisfy nahi karte
DLS
  • DLS
red waala aur 2 green waale hain acceptable case
DLS
  • DLS
so 8c7+7c7+7c7
yrelhan4
  • yrelhan4
hmm.. 2(8c7+7c7+7c7) nhi krna chahiye? us figure me / vale diagonals hain.. \ vale diagonals?
DLS
  • DLS
wahi to kiya :O
DLS
  • DLS
mai sirf bracket ke andar ka part bata raha tha
shubhamsrg
  • shubhamsrg
kaise kar lete ho @DLS how? :O
DLS
  • DLS
mai sirf ek side ka bata raha hoon
yrelhan4
  • yrelhan4
ohho.. ok samajh gya. thank you.
DLS
  • DLS
induction :")))
DLS
  • DLS
sab clear hojaega isse :|
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