Q. There are 5 historical moments, 6 gardens and 7 shopping malls in the city. In how many ways a tourist can visit the city, if he visits at least one shopping mall?
A) $2^{5}.2^{6}.(2^{7} - 1)$
B) $2^{4}.2^{6}.(2^{7} - 1)$
C) $2^{5}.2^{5}.(2^{6} - 1)$
D) None of these
Explanation
(a)
For each historical monument, there are two possibilities either he visit or does not visit.
Total number of ways $= 2^{5}.2^{6}(2^{7} - 1)$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.