Question 1029763
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A firm has 5 different positions to fill and 15 applicants from which to choose. All applicants are equally qualified for all 5 positions. In how many ways can the firm fill the positions? show working please.
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In how many ways one can choose 5 objects from the set of 15?


By {{{C[15]^5}}} = {{{(15*14*13*12*11)/(1*2*3*4*5)}}} = 3*7*13*11 = 3003 ways.


{{{C[15]^5}}} is the number of combinations of 15 things taken 5 at a time.


On combinations see the lesson <A HREF=https://www.algebra.com/algebra/homework/Permutations/Introduction-to-Combinations-.lesson>Introduction to Combinations</A> in this site.