Josef is selecting 5 songs to be randomly played between games at a basketball tournament. Each of the 10 players on the team suggested a different song. The coach suggested 3 songs that are all different from those suggested by the players. The number of different possible selections of songs that Josef can make that use exactly 2 of the coach's suggestions is O 5400 O 120 360 O123

A child is allowed to pick a handful of 4 pieces of candy from a bowl of 8 different pieces of candy. How many ways are there for the child to choose the 4 pieces?

Three hungry pirates, Ahab, Bluebeard, and Hook, were stranded on a desert island. They came upon a treasure chest, which they immediately opened. To their joy, they found it to be full of pretzels! Immediately they each ate 10, then they decided they should save the rest for later. That night, after the others had fallen asleep, Ahab crept to the treasure chest and opened it. He separated the pretzels into 3 equal piles. There was 1 extra pretzel, which he gave to a passing monkey. Then he stole one of the 3 equal piles of pretzels, put the rest back into the chest, and went back to camp. A short time later Bluebeard sneaked over to the chest. He separated the pretzels into four equal piles (he wasn’t quite as greedy as Ahab). There were 2 extra pretzels, which he gave to a passing monkey. He then stole one of the four piles and put the rest back into the chest. Still later Hook went to the chest and separated the pretzels into five equal piles. There were 3 left over, which he gave…

Suppose Allan is going to build a playlist that contains 7 songs. In how many ways can Allan arrange the 7 songs on the playlist? Allan can arrange the 7 songs on the playlist in different ways.

As a manager in a company, your department was assigned 3 projects to work on. In your department, you have 9 engineers. If you want to create 3 groups of 3 engineers each to work on the 3 projects. How many different groups can you create?

There are 2 songs in a playlist. How many ways are there to order and play them one by one? Each song will only be played once and only once?

Each day, Mr. Ling has a boy and a girl summarize the assignment for the day. There are 7 boys and 8 girls in his group. In how many different ways can the teacher select the two students?

Bruce, Clark, and Diana found a box of old baseball cards in the attic. They sold 161 cards to a collector and then split the remaining cards equally among themselves. Then, Bruce gave 1/3 cards to Evan. If Evan was given 6 cards, how many cards were in the box when it was found?

Find the number of different ways that an instructor can choose 7 students from a class of 14 students for a field trip.