How many palindrome numbers are there in between 2000-97000 ?

• total is 710
  1st we calculate no of palindrome of size 4 i.e ABBA
  we can take A in 8 ways ( 2,3,4,5,6,7,8,9) and B in 10 ways ( 0 to 9 ).so total 4 igit palindrome = 8*10=80..
  now we have to calculate 5 digit palindrome i.e ABCBA.
  A in 9 ways ( 1 to 9 )
  B in 7 ways ( because limit is 97000, so nubers we can take is 0,1,2,3,4,5,6) ana
  C in 10 ways ( 0 to 9 ) ,so total 5 digit pali numbers=9*7*10=630
  total no of palindrome= 80+630=710..
• 10 years agoHelpfull: Yes(31) No(4)
• ans is 950.
  ->num of 4-digit polindromes: __ __ __ __
  in first place we can put from 2 to 9 but not 0 and 1 because we want the numbers from 2000=8 ways
  in second place we can put all ten digits=10 ways
  in third place,only one way because second place num and third place should be equal=1 way
  in 4th place,only one way because 1st place num and 4th place should be equal=1 way
  Hence,number of four digit polindromes=8*10*1*1=80
  
  ->number of 5-digit polis: __ __ __ __ __
  in 1st place,9 digits from 1 to 9=9ways
  in 2nd place,10 digits=10 ways
  in 3rd also 10 ways
  4th--1 way
  5th--1 way
  Hence,number of 5-digit polindromes=9*10*10*1=900
  
  ->now,we have to subract the polis from 97,001-99999
  number of polis from 97001-99999:__ __ __ __ __
  1st place---9 fix=1 way
  2nd place---7/8/9=3 ways
  3rd place---10 ways
  4th and 5th place---1 way
  =1*3*10*1*1=30 polis b/w 97001-99999
  Finally,num of polis b/w 2000-97000==80+900-30=980-30=950
• 9 years agoHelpfull: Yes(14) No(7)
• 800 numbers
  
  2000 is a four digit number.
  _ _ _ _ if first two digits are known definitely the two digits are mirror image of first two(ABBA)
  Always check >2000
  So, first digit can filled in 8 ways (1,0 not there)and second is in 10 ways
  Total 8*10= 80ways
  
  Take 5 digit number(
• 10 years agoHelpfull: Yes(1) No(5)
• Total number of palindromes between 2000 - 10000 is 80
  Total number of palindromes between 10,000 - 97,000 is 1940
  So the answer is 2020
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• madhurimudaliar94@gmail.com
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• de.ranan93@gmail.com
  
  plzzz send me
  
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• 880
  80+800
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• tell the crrct ans
  is there any formula for finding palindrome???
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• plz explain clearly
  
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• explain the logic properly...
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• The traditional method to answer this question is writing all possible cases.But it is time consuming process,to avoid this alternative method is there (i.e)
  Make partitions for given problem(i.e)
  2000-10000
  10000-90000
  9000-97000
  (From 2000-3000 we have 10 palindromes 2002,2112,2222,2332........2992.)
  Like this from 2000-10000 we have eight thousands so 8*10=80.
  (And from 10000-20000 we have ten thousands so 10*10=100)
  as same as from 10000-90000 we have 80 thousands so 80*10=800.
  From 90000-97000 we have seven thousands so 7*10=70.
  By adding all possibilities (i.e) 80+800+70=950.So totally 950 palindromes are there.
• 5 years agoHelpfull: Yes(0) No(0)