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28 Dec 09
09:11
Joined:
Date Joined:
06 Mar 03
....probably unique - my brother thought of it the other day
How many pallindromic numbers are there between 1 and a million ? Its not that hard when you get your head round it ....
How many pallindromic numbers are there between 1 and a million ? Its not that hard when you get your head round it ....
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reads same back to front .... eg 131, 164461 etc....
Oh I see, ta.
Still don't know the answer though.
Still don't know the answer though.
yes - strictly speaking - 1 to 9 all count....
10,000 is wrong on both counts .... its not the answer and its not a pallindromic number either !!
1, 2, 3, 4, 5, 6, 7, 8, 9 = 9
11, 22, 33, 44, 55, 66, 77, 88, 99, = 9 (total = 18)
101, 111, 121, 131, 141, 151,161, 171, 181, 191 = 10 (+80) (total = 108 (1000))
1001, 1111, 1221, 1331, 1441, 1551 etc = 10 (+80) (total = 198 (10000))
10001, 10101, 10201,...10901 = 10
11011, 11111, ... 11911 = 10
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19091, 19191.... 19991 =10 so 100 between 10000 and 19999. so 900 between 10000 and 99999
So total up to 99999 = 1098?
11, 22, 33, 44, 55, 66, 77, 88, 99, = 9 (total = 18)
101, 111, 121, 131, 141, 151,161, 171, 181, 191 = 10 (+80) (total = 108 (1000))
1001, 1111, 1221, 1331, 1441, 1551 etc = 10 (+80) (total = 198 (10000))
10001, 10101, 10201,...10901 = 10
11011, 11111, ... 11911 = 10
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19091, 19191.... 19991 =10 so 100 between 10000 and 19999. so 900 between 10000 and 99999
So total up to 99999 = 1098?
so 100000 to 999999
all will be in the form nxxxxxn wheren = 1,2,3,4,5,6,7,8 or 9
so how many palindroms of xxxx are there? when we have that we multiply by 9
xxxx - can be:
0000, 0110, ..... 0990 = 10
1001, 1111, .... 1991 = 10
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9009, 9119, .... 9999 = 10. Equals 100 in total. x 9 = 900
all will be in the form nxxxxxn wheren = 1,2,3,4,5,6,7,8 or 9
so how many palindroms of xxxx are there? when we have that we multiply by 9
xxxx - can be:
0000, 0110, ..... 0990 = 10
1001, 1111, .... 1991 = 10
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9009, 9119, .... 9999 = 10. Equals 100 in total. x 9 = 900
Region no of palindromes:
0-9 9
10-99 9
100-999 90
1000-9999 90
10000-99999 900
100000-999999 900
Total = 1998
imo
0-9 9
10-99 9
100-999 90
1000-9999 90
10000-99999 900
100000-999999 900
Total = 1998
imo
I went a bt of a long way round. It was just 9+9+90+90+900+900 in the end.
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