Question

Number of three digit number having at least one $2$ and at least one $3$

Answer 1

The number can be of the forms

X can take values 0 to 9

32X = 10 combinations

23X = 10 combinations

X23= 8 combinations (can’t be zero and 323 is included)

X32 = 8 combinations ( can’t be zero and 232 is included)

3X2 = 8 combinations(322 and 332 is already included)

2X3 = 8 combinations(223 and 233 is already included)

Total = 52 Numbers