ow many ways can the positions of center midfielder, striker, and center back be assigned from the starting ten field players of a soccer team?

Suppose you have a choice of ten TV sets that can be matched with any of six DVR players and eight DVD players. How many different TV/DVR/DVD systems can you assemble?

Suppose we want to choose 2 letters, without replacement, from the 4 letters A, B, C, and D. How many ways can this be done, if the order of the choices is taken into (a) consideration? (b) How many ways can this be done, if the order of the choices is not taken into consideration?

in how many ways can the letters MANAGEMENT be arranged?

Most courses offered at a local university worth either 4 or 5 credit hours. The members of the women's basketball team are taking a total of 49 courses that are worth a total of 207 credit hours. How many 4-credit courses and how many 5-credit courses are being taken? The team members are taking... 4-credit hour courses 5-credit hour courses.

A manager has 4 people that can play any of positions. How many different way's can he assign these spots?

A southeast regional salesman has eight destinations that he must travel to this month: Atlanta, Raleigh, Charleston, Nashville, Jacksonville, Richmond, Mobile, and Jackson. How many different possible routes could he take?

In a rugby match​,a tie at the end of two overtime periods leads to a​ "shootout" with five kicks taken by each team from the center of the 22-meter line. Each kick must be taken by a different player. How many ways can 5 players be selected from the 15 eligible​ players? For the 5 selected​ players, how many ways can they be designated as first, second, third, fourth, and fifth​?

Find the LCD of 1 4x²y³ and 7 6x²y³z6

If a team of four players must be made from eight boys and six girls, how many teams can be made if they must all be boys?