Why length, mass and time are chosen as base quantities in mechanics ?

Why are length, mass and time chosen as fundamental quantites in mechanics ?

If force F, Mass M and time T are chosen as fundamental quantities the dimensional formula for length , is

If force 'F' length 'L' and time 'T' are chosen as fundamental quantities,the dimensional formula for mass is

If force F, Length L and time T are chosen as fundamental quantities , the dimensioal formula for mass is

If force F , Length L and time T are chosen as fundamental quantites, the dimensional formula for Mass is

If force F , Length L and time T are chosen as fundamental quantites, the dimensional formula for Mass is

If units of length, mass and force are chosen as fundamental units, the dimensions of time would be :

If momentum, time and energy were chosen as basic quantities, find dimensions of (a) mass and (b) force.