The number of all 3 -digit numbers abc (in base10) for which (a b c)+(a b) 6+(c a)+a+b+c=29 is

Step-by-step solution

array l (a b c)+(a b)+(c a)+(a+b+c)=29 (1+a)(1+b)(1+c)=30 =2 3 5 (a, b, c) (1,2,3) 6 =1 6 5 (a, b, c) (0,5,4) 4 =1 3 10 (a, b, 1) (0,2,9) 4 14 & array