Manhattan 5lbs probability, combinatorics and sets


can anyone explain it to me why the answer is ‘E’ and not ‘B’?

Hey!

It is important to understand that condiments are optional and are completely based on whether the customer wants them. For each of the 7 condiments, there are 2 possibilities-

  1. The customer would want it (present in the burger)
  2. The customer would not want it (absent)

Now coming to the solving part-

Since meat is a must, the customer would choose of the 3 types of meat available, which equals 3C1 =3
For and since each condiment has 2 possibilities, and there are 7 condiments, it comes out to be 2^7
and the answer would simply be the multiplication of both entities which is option E.

If you are thinking about option B) you are assuming that all the 7 condiments are present in the burger and there is just a change in their arrangement, which is not the case.

Hope this helps :slight_smile: