If the number of five-digit numbers which can be read in the same way from the left and from the right is k , then k 100 is equal to

Step-by-step solution

The number will be of the form X Y Z Y X first place can’t be zero, so it can be any 1 to 9 ⇒ 9 ways Y and Z each can be any of 0 and 9 so, they can be filled in 10 ways each. The fourth place will be the same as second place and the last place will be the same as the first place. So, the required number of ways = 9 × 10 × 10 × 1 × 1 = 900 ⇒ k = 900 ⇒ k 100 = 9 .