permutations and combinations

the board of directors at Belford community hospital has 12
members. three officers, president, vice president, and
treasurer--must be elected from among the members. how many
different slates of officers are possible?

a. do we use permutation rule or combination rule? what is the
value of N, what is the value of R

b. use the permutation rule with n = 12 and r = 3 to compute P
12,3

Three members from the group of 12 on the board of directors at
Belford community hospital will be selected to go to a convention
(all expenses paid) in Hawaii. how many different groups of three
are there?

c. do we use permutation rule or combination rule? what is the
value of N, what is the value of R

d. use the permutation rule with n = 12 and r = 3 to compute C
12,3

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Answer) We use combination when the order is not important And we use permutation when the order is imp

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