SOLUTION: Leslie plan to have lunch at different restaurants from Monday to Friday. If he makes a choice each day from the 7 restaurants nearby, how many combinations of the restaurants to

Algebra ->  Permutations -> SOLUTION: Leslie plan to have lunch at different restaurants from Monday to Friday. If he makes a choice each day from the 7 restaurants nearby, how many combinations of the restaurants to       Log On


   

Question 1173846: Leslie plan to have lunch at different restaurants from Monday to Friday. If he makes a choice
each day from the 7 restaurants nearby, how many combinations of the restaurants to be
chosen are there?
Found 2 solutions by ikleyn, greenestamps:
Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
.

My previous post was incorrect: I misread the problem.


Surely, the correct answer is  C%5B7%5D%5E5 = %287%2A6%29%2F%281%2A2%29 = 7*3 = 21.



Answer by greenestamps(13198) About Me  (Show Source):
You can put this solution on YOUR website!


The subject you chose for this post was "permutations".

The other tutor supplied a response as if it were in fact permutations -- that is, as if the ORDER in which the 5 different restaurants are chosen Monday to Friday is important.

However, in the text of your post, you ask how many COMBINATIONS there are of 5 of the 7 restaurants, indicating it doesn't matter which restaurant you go to on which day. That number is "7 choose 5":

C%287%2C5%29+=+C%287%2C2%29+=+21