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there are total 10 digits given. as in unit's place 0 can't sit therefore 1's place can be filled up in 9C1 ways i.e. 9 ways. again since repetition is allowed thus we can put any digit from the given ones in 10's, 100's, 1000,s place. thus in 10C1 for each place. now the number must be a palindrome . so there is no chance to select another digits for 10000's, 100000's and 1000000's place. so the required type no. can be formed in 9.10.10.10=9000 ways. ans. (b)
Dear Piyushre
We have to fill first four digits and other three will automatically be fixed.
since 0 canot be in the first place.we have 9 choices for first place and 10 choices for next three places and one choice for the other places.
so total no.=9*10*10*10*1*1*1=9000
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