There are three mathematics teachers in a college in which there are 6 classes. The number of ways they can choose the classes, provided one only teacher one class only is

There are three mathematics teachers in a college in which there are 6 classes. In how many different ways can they choose the classes provided one teaches one class only

There are four teachers and five classes in a school. One teacher teaches only one class at a time. In how many ways can the teachers choose the classes?

There are 35 students in a class in wjhich there are 22 boys and 13 girls . The class teacher select either a boy or a girl for monitor of the class. In how many ways the class teacher can make this selection ?

There are 35 students in a class in wjhich there are 22 boys and 13 girls . The class teacher select either a boy or a girl for monitor of the class. In how many ways the class teacher can make this selection ?

In an Art class, the teacher gives 3 pencils to each student and has 5 pencils left over. a. Find the rule for the number of pencils the teacher had at the beginning of the class. b. If the number of students in the class is 12, find the number of pencils the teacher had at the beginning of the class.

The average age of 33 boys and the class teacher in a class is 14 years. If the class teacher's age is 47 years. What would the average age of only the boys ?