The word CAMBRIDGE includes the three vowels A, E and I and six different consonants. i) Find the number of different arrangements using all nine letters. ii) How many of these arrangements start and end with a consonant, and do not have the three vowels together.

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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.