Question

If the order of objects is not of​ importance, how many ways can

nineteen objects be selected three at a​ time? Why is this result different from the result when order​ matters?There are blank

different ways to select three objects at a time.

​(Type a whole​ number.)

Explain why this result is different from the result when order matters. Choose the correct answer below.

A.

When order does not​ matter, picking the first object before the second object is the same as picking the second object before the first object.​ Therefore, the number of ways of choosing is less than when order matters.

B.

When order​ matters, picking the first object before the second object is not the same as picking the second object before the first object.​ Therefore, the number of ways of choosing is less than when order does not matter.

C.

When order does not​ matter, picking the first object before the second object is the same as picking the second object before the first object.​ Therefore, the number of ways of choosing is greater than when order matters.

D.

When order​ matters, picking the first object before the second object is the same as picking the second object before the first object.​ Therefore, the number of ways of choosing is greater than when order does not matter.

Answer 1