give a short response to the question.\ndescribe at least two cases where the order of things may be…

give a short response to the question.\ndescribe at least two cases where the order of things may be important in the counting process.\n\nselect all that apply.\n\na. find the number of ways that a club can appoint a committee of two members to represent them at an association conference.\n\nb. some auto license plates have contained four letters of the english alphabet that are non repetitive. find the number of possible license plates.\n\nc. some auto license plates have contained four letters of the english alphabet. find the number of possible license plates.\n\nd. find the number of ways that the club can select both a president and a secretary. assume that all members are eligible but that no one can hold both offices.

give a short response to the question.\ndescribe at least two cases where the order of things may be important in the counting process.\n\nselect all that apply.\n\na. find the number of ways that a club can appoint a committee of two members to represent them at an association conference.\n\nb. some auto license plates have contained four letters of the english alphabet that are non repetitive. find the number of possible license plates.\n\nc. some auto license plates have contained four letters of the english alphabet. find the number of possible license plates.\n\nd. find the number of ways that the club can select both a president and a secretary. assume that all members are eligible but that no one can hold both offices.

Answer

Brief Explanations:

  • For option A, appointing a committee (a group) where order doesn't matter (e.g., choosing member X and Y is same as Y and X).
  • For option B, license plates with non - repetitive letters: the order of letters matters (e.g., "ABCD" is different from "ABDC").
  • For option C, license plates with four letters (repetition allowed): the order of letters matters (e.g., "AAAA" is a valid plate, and "AAAB" is different from "AABA").
  • For option D, selecting a president and a secretary: order matters (e.g., person A as president and person B as secretary is different from person B as president and person A as secretary).

So the cases where order is important are B, C, D.

Answer:

B. Some auto license plates have contained four letters of the English alphabet that are non repetitive. Find the number of possible license plates. C. Some auto license plates have contained four letters of the English alphabet. Find the number of possible license plates. D. Find the number of ways that the club can select both a president and a secretary. Assume that all members are eligible but that no one can hold both offices.