Question

There are 5 historical monuments, 6 gardens and 7 shopping malls in the city. In how many 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. $=2^5.2^6(2^6-1)$
• D. None of these

Answer 1

The correct option is A

$=2^5.2^6(2^7-1)$

For each historical monument, there are two possibilities either he visits or does not visit. Similarly for gardens.
Total number of ways $=2^5.2^6(2^7-1)$
We have subtracted one from shopping mall, as that will include one case where he does not visit any mall.