Find the number of ways of placing 12 balls in a row given that 5 are red, 3 are green and 4 are yellow

Apple has 252 sales repsin order to sell its apple watches.  Each to be assigned to 1 of 4 marketing teams.  If the first team is to have three times as many members as the second team and the third team is to have twice as many members as the fourth team, how can the members be distributed among the teams.

A pianist plans to play 4 pieces at a recital from her repertoire of 25 pieces. How many different recital programs are possible?

Scotiabank Arena hosts NBA games and has eighty-three (83) rows on the east side. The first row accommodates five (5) persons, and every other row accommodates four (4) more persons than the previous row. Determine the maximum number of persons the east side of the Scotiabank Arena can accommodate during an NBA game.

For a new sale a store created a large pyramid display with boxes of cookies. There are 68cans on the bottom layer, 65 cans on the second, 62 cans on the 3rd and so on. The top row has2. How many boxes would be needed to build the display?

Help

Jim  is designing stripes with five parallel colors on a piece of cloth. How many stripes can jim generate with the colors red, green, blue, yellow, and orange while having two or more consecutive reds?

Jerri has 210 stamps in her collection. She wants to arrange her stamps in a rectangular array so there are the same number of stamps in each row without any left over. What are all the different ways she can arrange her stamps, not worrying about order?

Compute P5,2.

The Maple Leafs are allowed to dress 20 players for each game.  If they dress 12 forwards, 6 defensemen and 2 goalies, how many possible starting line-ups of 3 forwards, 2 defensemen and 1 goalie are possible?