Four members from a 6-person committee are to be selected randomly to serve as chairperson, vice-chairperson, secretary, and treasurer. the first person selected is the chairperson; the second, the vice-chairperson; the third, the secretary; and the fourth, the treasurer. how many different leadership structures are possible?
Question
Answer:
We have arrange the four men from the six peoplewe note them with 1,2,3,4,5,6
We have to select 4 of 6 ( all combinations )
select 1,2,3,4
these are the combinations
1234, 1243, 1324, 1342, 1423,1432,2134,2143,2314,2341,2413,2431,3124 ,3142, 3214,3241, 3412,3421, 4123,4132,4213,4231,4312,4321
24 combination for the first 4 members
Then select these:
1235........ 24 combination for these members
1236.........24 combination for these members
1245....24 combination for these members
1246.....24 combination for these members
1256....24 combination for these members
1345....24 combination for these members
1346...24 combination for these members
1356.......
1456......
2345
2346
2356
2456
3456
the number is 3*4*5*6=15*24=360
solved
general
9 months ago
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