There are 12 boys and 14 girls in Mrs. Schultzkie’s

1. There are 12 boys and 14 girls in Mrs. Schultzkie’s math class. Find the number of ways Mrs. Schultzkie’s can select a team 3 students from the class to work on a group project. The team is to consist of 1 girl and 2 boys.2. The managers are to be selected from a group of 30 to work on a project. In how many different ways can the group of 3 be selected if a certain manager must work on a project?3. The managers are to be selected from a group of 30 to work on a project. In how many different ways can a nonempty group of 3 managers be selected from these 30 managers?4. Morse code uses sequence of dots and dashes to represent letters and words. How many sequences are possible with at most 3 symbols?5. A television talk show will include 4 women and 3 men as panelists. In how many ways can the panelists be seated in a row of 7 chairs?

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