in how many ways can 5 starting positions on a basketball team be filled with 12 men who can play any of tge position?

Find in how many ways you can distribute 8 different gifts to 3 people so that everyone gets at least two gifts.

The game of American Roulette consists of spinning a wheel in one direction and then spinning a small ball in the other direction, see videoOpens externally [+]. The ball will eventually fall into a slot of the wheel. The wheel is divided into 38 slots. There are 36 slots numbered from 1 through 36 and 2 slots which are labeled with zero "0" and double zero "00". The zero and double zero are colored green, 18 slots are colored red, and the other 18 are colored black. See the below picture.A common bet in the game is to bet on red or black which pays even money. For example, if you bet a $1.00 on red and the ball falls into a red slot, then you win $1.00. Otherwise, you lose $1.00. Suppose you play the game and you bet $6 on red. Let X = the amount you win.a.) Complete the probability distribution table. (Write answers as fractions.) X P(X) -6    6    b.) Find the expected value (mean) of X.μμ =    (Write you answer as fraction or round to two decimal places.)c.) Find the…

There are 28 students in a class who want to be members in the school 's physics, math and literature clubs having only 6,8 and 10 open seats respectively. Sadly, some of the students will not be able to join any club. In how many ways can the students become members of the different clubs to their full capacity?