Factor this expression completely and then place the factors in the proper location on the grid. Note:
1 answer:
First we are going to group the terms that contains the common factor 
in one parenthesis, and the other ones in another parenthesis:
Notice that our the terms in our first parenthesis have a common factor, and the terms in our second one have the common factor 
. Lets factor those out:
Now we have a common factor
in both terms, so we can factor those out as well:
We can conclude that the completely factored expression ordered alphabetically is
.
Notice that our the terms in our first parenthesis have a common factor
Now we have a common factor
We can conclude that the completely factored expression ordered alphabetically is
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Answer:
The members of the cabinet can be appointed in 121,080,960 different ways.
Step-by-step explanation:
The rank is important(matters), which means that the order in which the candidates are chosen is important. That is, if we exchange the position of two candidates, it is a new outcome. So we use the permutations formula to solve this quesiton.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
If there are 14 eligible candidates for these positions (where rank matters), how many different ways can the members of the cabinet be appointed?
Permutations of 8 from a set of 14. So
The members of the cabinet can be appointed in 121,080,960 different ways.