Question

Which of the following is NOT a requirement of the Combinations​ Rule, ​, for items that are all​ different? Choose the correct answer below. A. That order is taken into account​ (consider rearrangements of the same items to be different​ sequences). B. That r of the n items are selected​ (without replacement). C. That there be n different items available. D. That order is not taken into account​ (consider rearrangements of the same items to be the​ same).

Answer 1

Answer: A. That order is taken into account​ (consider rearrangements of the same items to be different​ sequences).

Step-by-step explanation:

The combination is usually given by the formula below:

C n,x = n! / x! (n-x)!

We should note that the requirements for a combination rule include:

• That r of the n items are selected​ (without replacement).

• That there be n different items available.

• That order is not taken into account​ (consider rearrangements of the same items to be the​ same).

Therefore, the option that is not a requirement of the Combinations​ Rule, ​, for the items that are all​ different will then be option A"That order is taken into account​ (consider rearrangements of the same items to be different​ sequences).