A row of six seats in a classroom is to be filled by selecting individuals from a group of ten students. (a) In how many different ways can the seats be occupied? (b) If there are six boys and four girls in the group and if boys and girls are to be alternated, find the number of different seating arrangements.

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Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.