In how many ways can the first, second, and third places be chosen from a group of 10 contestants? Select one: 720 27 30 1000

Every week, fifty-six dancers in a large dance troupe are divided into groups and each group is assigned to create a dance in one of the styles: ballroom, modern, tap, and pop-and-lock. In how many ways can the dancers be divided into four groups of fourteen dancers and all groups be assigned to perform with the ballroom dance style a given week? A. (5614141414) B. (5614141414)÷4! C. 4!×(5614141414) D. (5614141414)÷3! E. 4×(5614141414)

In a 10 team tournament, trophies are to be given to the top 3 places. In how many ways can the trophies be awarded?

At the Harris Burger Bar each customer designs their own burger by choosing: one from two types of bun, one from three types of filling, and two different side dishes from six available. How many different burgers can be created?