darkexodus

Q. A new company with just two employees, Sanchez and Patel, rents a floor of a building with 12 offices. How many ways are there to assign different offices to these two employees?

Why this is not a DODB template? Each office can be given to either Sanchez or Patel and there are 12 offices. So shouldn't answer be 2^12?
Given answer is 12*11.

Order of an element divides order of a group. So to find elements of order 7 the n/GCD(a, b) = 7.
So 42/GCD(a, 42) = 7

Using the above property, a can be 2*3, 2^2*3, 2^3*3, 2*3^2, 2^2*3^3

I could find only five elements but answer says there are 6 such elements possible. Which one am I missing?

Hello Guys, I've a doubt in DL. I was solving a test series question and the solution given there is incorrect I guess and I need confirmation for it.
I've to find minimum SOP(msop) from the given K-map. From what was taught in the class and from the reading material given to me, msop should've minimum number of literals.
So in this question I think only one msop expression is possible. Am I correct?