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?
Accepted Solution
A:
We have arrange the four men from the six people we 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