JEE Advanced Model Paper 9 with solutions for online practice

For an even license plate ,there must be 2 K zeros (0 ≤ K ≤ 4) and 8-2K non zero digits ,each of which has 9 choices .There are rC2K ways to choose 2K places for 0’s & (8C2K) 98−2K plates have exactly 2K zeroes therefore the requiredanswer is =

(9+1)8+(9−1)8

2

=

108+88

2