The newly elected president needs to decide the remaining 66 spots available in the cabinet he/she is appointing. if there are 1111 eligible candidates for these positions (where rank matters), how many different ways can the members of the cabinet be appointed?

If the rank matters, we should use the permutation formula. The formula is nPk = n! / (n-k)!

 

Where n is the total number of people where k is how many people in must be in each group.

So in the problem n would be 11 and k would be 6.

nPk = n! divided by (n-k)!

= 11! Divided by 5!

= 332640

There are 332640 ways that the members of the cabinet can be appointed.

France played a key role in the american revolutionary war (american war of independence; 1775–1783). motivated by the ideals of the new nation which were inspired by the french enlightenment, as well as its long-term rivalry with britain and so as to avenge their territorial losses during the french and indian war, france secretly began sending supplies to the americans in 1775.