what is the remainder when 50! Divided by 47^2.

• first understand dis
  (6*10*55)/9
  remainder of this is 6. there r two ways to calculate this
  1--- 6*10*55 ie 3300 mod 9 = 6
  2--- 6 mod 9 =6
  10 mod 9 =1
  55 mod 9=1
  thn multiply all the rem n u get the ans ie 6
  
  in case of 47^2
  50*49*48*47*46! / 47^2
  47 will b cancel out
  50*49*48*46 ! / 47
  nw find out remainder individually
  50 % 47 =3
  49 % 47 =2
  48 % 47=1
  and acc to wilson theorem
  if p is a prime no thn (p-1)! mod p =-1
  here 47 is a prime no so
  46!% 47 = -1 or 46
  so multiply all the rem
  3 * 2*1* 46 mod 47 = 276 mod 47 = 41
  nw multiply 41 with 47 so we get
  41*47= 1927...ans
• 11 years agoHelpfull: Yes(41) No(5)
• According to wilson's theorem
  For a prime number p,
  rem[(p-1)!/p]=p-1
  
  50!/47^2
  =(50*49*48*47*46!)/47^2
  =(50*49*48*46!)/47
  overall rem=(3*2*1*46)
  =276
  276 is greater than 47
  so
  rem= 276 mod 47
  =41 (Ans)
  
• 11 years agoHelpfull: Yes(12) No(2)
• (1+2+3...+50-47)/47 the rem is answer 1+2+3...+50 is a.p. series easy to find the sum.
• 10 years agoHelpfull: Yes(2) No(0)
• can any one xplain dis...
• 11 years agoHelpfull: Yes(1) No(2)
• ans=17.......
• 11 years agoHelpfull: Yes(1) No(7)
• pls explain
• 11 years agoHelpfull: Yes(1) No(2)
• ans is 4.....
• 11 years agoHelpfull: Yes(1) No(4)
• ans is 43......
• 11 years agoHelpfull: Yes(1) No(4)
• Answer should be 6
  because
  50*49*48*47!/(47*47) which cancel one 47
  thus left with
  (50*49*48/47)..now by remainder theorem it ll be 3*2*1=6
• 9 years agoHelpfull: Yes(1) No(2)
• i think ans is 3.
• 11 years agoHelpfull: Yes(0) No(2)
• ans :6.....
• 11 years agoHelpfull: Yes(0) No(2)
• 50!= 2^47 x3^21x5^11x7^8x11^4x13^3x17^2x19^2x23^2x29x31x37x41x43x47 /47^2
  =2^47 x3^21x5^11x7^8x11^4x13^3x17^2x19^2x23^2x29x31x37x41x43x47^-1
• 11 years agoHelpfull: Yes(0) No(0)
• the answer is 1927
• 10 years agoHelpfull: Yes(0) No(0)
• why u'r again multiply with 47 tanu goel?????
  please tell me reason.........
• 10 years agoHelpfull: Yes(0) No(0)
• one 47 will get cancelled
• 9 years agoHelpfull: Yes(0) No(0)
• 50*49*48*47/(47*47)= 47 cancels 47.=(50*49*48)/47.
  divide individually.= 3*2*1=6 answer
• 9 years agoHelpfull: Yes(0) No(0)