Let the number be abcde where a,b,c,d and e are integers.

To be divisible by 11   a+c+e-b-d=0 or 11

                                         a+c+e+b+d=43..

For a+c+e-b-d=0 we get b+d=43/2 which is not possible since b,d are integers.

So,a+c+e-b-d=11

b+d=16 and a+c+e=27 now you can use multinomial  .