Question

i. an experiment is an activity that is either observed or measured.
ii. if an experiment, such as a die - tossing experiment, has a set of events that includes every possible outcome, the set of events is called collectively exhaustive.
iii. the combination formula is: n!/(n - r)!

a. (ii) and, (iii) are correct statements but not (i).
b. (i) and, (iii) are correct statements but not (ii).
c. (i) and, (ii) are correct statements but not (iii).
d. (i), (ii) and (iii) are all false statements.
e. (i), (ii) and (iii) are all correct statements

Explanation:

1. Verify statement (i): By definition, an experiment is an activity with observable/measurable outcomes, so this is correct.
2. Verify statement (ii): A collectively exhaustive set of events includes every possible outcome of an experiment (like all faces of a die), so this is correct.
3. Verify statement (iii): The combination formula is $\frac{n!}{r!(n-r)!}$, while $\frac{n!}{(n-r)!}$ is the permutation formula. Thus, this statement is incorrect.

Answer:

c. (i) and, (ii) are correct statements but not (iii).