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In The Following Sentences Translate The Underlined Words

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1- In the following sentences, translate the underlined words: a) If a collection of things can be separated into different types, and if each of these types can be separated into k different subtypes, then there are different types in all. b) In a certain country the automobile license plates have letters, not numbers, as distinguishing marks. Precisely three letters are used. If the alphabet has 26 letters, how many different license plates can be made? 2- In how many different orders can the five letters A, B, C, D, E be written, begin with a vowel (A or E), no letter being repeated in any one arrangement? 3- Prove the following expression : .(Hint: First evaluate after that evaluate .) 4- a) How many fraternity names

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