Question

Find the number of palindromes with 6 digits that can be formed using the digits i) 1,3,5,7,9 ii) 0,2,,4,6,8​

Answer 1

Question :

Find the number of palindromes with 6 digits that can be formed using the digits i) 1,3,5,7,9 ii) 0,2,,4,6,8​

Answer :

(i) The number of palindromes formed :

= 4 X $5^{\frac{4}{2} }$

= 4 X $5^{2}$

= 4 X 25

= 100

(ii) The number of palindromes formed :

= $5^{\frac{6}{2} }$

=$5^{3}$

=125

So, the answer of (i) is 100 and (ii) is 125.