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Professor
Beau
Ezra90 four-digit palindromes are divisible by 9.
4 four-digit palindromes are divisible by 18
There are 90 4 dight ones
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How many 4-digit palindromes are there?
There are 90 four-digit palindromes
How many 4-digit numbers are palindromes?
There are 90 such numbers.
What digits are always the same in a 4-digit palindrome?
None. 1221 and 3443 are both 4-digit palindromes but no digit has remained the same between the two. First and fourth, second and third.
How many 4 digit numbers are palindromes?
There are 90 palindromes with 4 digits.The first digit can be any digit from the set {1,2,3,4,5,6,7,8,9}.With each choice of the first digit, the second can be any digit from the set {0,1,2,3,4,5,6,7,8,9}.That makes 9*10 = 90 permutations for the first two digits. These determine the palindrome since the third and fourth digits are the same as the second and first, respectively.
How many different three digit palindromes can you make using only the digits 1and 2?
There are two possible digits for the first and last digit, and two possible digits for the centre digit, making 2 × 2 = 4 possible 3 digit palindromes from the set {1, 2}, namely the set {111, 121, 212, 222}.
