Question 293957
There are thirty-five (35) members in the Travel Club. Four (4) people will be chosen to win a vacation. How many ways can the four (4) be chosen if all four will win a trip to Las Vegas? 
---------------------------
When you are asked to count groups you should use "combinations".
When you are asked to arrange individuals (or groups) you should
use "permutations".
---------------------------
Your Problem:
# of groups of 4 when selecting from a population of 35:
35C4 = (35*34*32*31)/(1*2*3*4) = 52,360
===========================================
Cheers,
Stan H.
===========================================