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12-13-14 12. How many 4-letter arrangements are possible using 2 letters from the word gum and any 2 letters from the word Robert? A. 45

12-13-14

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12. How many 4-letter arrangements are possible using 2 letters from the word gum and any 2 letters from the word Robert? A. 45 B. 126 C 1080 D. 3 024 solution. Hint: Try dealing with selecting the letters and arranging them as two components of the 13. At a car dealership, the manager wants to line up 10 cars of the same model in the parking lot. There are 3 red cars, 2 blue cars, and 5 green cars. If all 10 cars are lined up in a row facing forward, the number of possible car arrangements, if the green cars cannot be together, can be calculated using A. 9! . P2 3!2!5! B. 8! . 8 P2 3!2!5! C. 10! - 8!2! 3!2!5! D. 10! 6!5! coldshey il metnoo for esob mel Tristengo A path 3!2!5! 3!2!5! Hint: Cars of the same colour can be thought of as identical (repetitions). 14. The expansion of (2 - 3x2)" will include to nolessque eril ol emmet to vedmun. ent A. 10 C2 (2) (-3x2) (got 4 ) hit ermel to redman orl! of singme antH B In C4 (2) ( - 3x2 ) " C. a negative constant term D. 9 terms

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