Of 14 possible books you plan to take 3 with you on vacation how many different collections

364 collections

Step-by-step explanation:

Given;

Number of possible books n = 14

Number of books to be selected r = 3

For the case above, three books needs to be selected from 14 with no particular/given order. So, the order of books are not relevant.

This makes it a combination;

The number of possible collection is;

N = nCr = n!/r! (n-r) !

Substituting the given values;

N = 14/3! (14-3) !

N = 364