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Answer is 735, show steps
13. Gisela lives in a subdivision where the streets are laid out in a grid pattern. Her school is eight blocks south and six blocks east of her home. How many different direct routes could she take when she bicycles to school if she always stops by her friends house, which is three blocks south and four blocks east of Giselas. Explain your reasoning.
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Consider the two parts of Giselas route separately. The number of direct routes Gisela can take from her home to her friends house is equal to the number of different orders in which she can choose to travel the three blocks east and the four blocks south. Therefore, the formula for permutations with some identical items can be applied. The 7! -35 number of routes between the two houses is 314! .Similarly, the number of routes from the friends house to 7! -21 512! Using the multiplicative counting principle, the different routes from Giselas home to her school via her friends house is 35 x 21 735

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