Question

In the figure,two 4-digit numbers are to be formed by filling the places with digits. The number of different ways in which the places can be filled by digits so that the sum of the numbers formed is also a 4-digit number and in no place the addition is with carrying, is

• A. ${55}^4$
• B. 220
• C. ${45}^4$
• D. none of these

Answer 1

Answer: (D)

none of these

The thousands place can be filled by 8 ways in both the cases whereas the other places can be filled by 9 ways in both the cases So, no of ways $=\mathrm{2.8.9.9.9}=11664$ ways