(1 point) an experiment consists of choosing a subset from a fixed number of objects where the arrangement/order of the chosen objects is not important. determine the size of the sample space when you choose the following: (a) 4 objects from 29 answer : (b) 2 objects from 10 answer : (c) 5 objects from 16 answer :

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis. 3- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in part b?