Three research departments have 8, 7 , 9 and members, respectively. If each department is to select a delegate and an alternate to represent the department at a conference, in how many ways can this be done?
-
There are 8 ways to pick the first delegate and 7 to pick the alternate. As these are independent except for the fact that the 8 is reduced to 7 there are:
56 ways to pick from the first department
7*6 = 42 ways to pick from the second department...............and
9*8 = 72 ways to pick from the third department
These three selections are independent, so the answer is:
56 * 42 * 72 =
169,344 ways to pick the six individuals <-------- Answer
.
56 ways to pick from the first department
7*6 = 42 ways to pick from the second department...............and
9*8 = 72 ways to pick from the third department
These three selections are independent, so the answer is:
56 * 42 * 72 =
169,344 ways to pick the six individuals <-------- Answer
.