The British Queen is to receive 4 foreign dignitaries. The digni- taries are sensitive to the order in which they are received. In how many ways can the Queen receive them? Give your answer in terms of per- mutations or combinations and explain your choice. You do not have to evaluate.

The numbers on a football field indicate 10 yard increments. you walk around the perimeter of a football field between the pylons. you walk a distance of 30623 yards. find the area and perimeter of the indicated regions. write your answers as mixed numbers, if necessary. a. one end zone: perimeter: yd area: yd2 b. the playing field (not including end zones): perimeter: yd area: yd2 c. the playing field (including end zones): perimeter: yd area: yd2