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數學 高中

想問排列組合這裡的類題十怎麼算,謝謝!!

類6.將3個蘋果、4 個桃子、2 個李子全部分給9個兒童 若分給 11 個兒童,每人至多得一個,則共有幾種不同的分法? 840x60 類7. 老師將 12 枝相同的鉛筆分給甲、乙、丙、丁、戊與己六位小朋友,其中有兩位各分得 兩位各分得2枝,而有兩位沒分到,則 105. (1)共有幾種分法。(2)在這種方法下,戊與己兩位都獲得4枝的方法有幾種。 73x5x8x T/EX4/Nx25x 類8.將“TENNESSEE”一字之字母全取排列,依下列情形各有多少種排列? (1)任意排列有幾種?(2)兩個N不相鄰又有幾種? () 3780# 4121 = =3x2x2x2=9x7x6x5x2=3780 = X ST 類9. 將「臺灣真好臺灣真棒」八個字全取作直線排列,共有幾種排列法?其中同字必須 法有幾種?同字不得相鄰的排列法共有幾種? 類10. 2 個中國人、2個美國人、2個日本人排成一列,同國籍不相鄰,排法有幾種? 0 0 0 0 0 0 類11.「人人為我,我為人人」排成一列,使同字不相鄰之排法共有幾種? 42!2!=&x7x6x5=420 類12. 將「 pallmall」一字中的字母全取重排,求下列各排列數: (1)任意排列 (2)所有【均相鄰 (3)所有1均相間 (4)所有【均不相鄰 (5)m至少與一個a相鄰 (6)同字母不相鄰 n! 類13. 將 a、a、a、a、b、b、c、d、e九個字母排成一列,則: (1)任意排列數為何? (2)四個a全分開的排列數為何? (3)恰有二個a相鄰的排列 (4)至少有二個a相鄰的排列數為何? (5)四個a全分開,且兩個6全分開排列數 類14. 英文字 factoring中各字母,每次全取排列,

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數學 高中

求救第55題 完全看不懂他要我幹嘛

Year slenue Req) = 1932 1958 +1000 q R 9)=-1000q =74 1963 1968 COM If the price in dollars of a stereo system is given by 1000 p(q) + 1000, 1000 ² q where q represents the demand for the product, find the mar- ginal revenue when the demand is 10. 54. Profit Suppose that for the situation in Exercise 53 the cost in dollars of producing a stereo systems is given by C(q) = 0.2q2 + 69 + 50. Find the marginal profit when the demand is 10. 59. Marginal Product of Labor The output y of a manufacturing y process is a function of the size of the labor force n using the function 1990 +1000 1971 1974 = 990 197 197 19 19 1 y = kVn. The marginal product of labor, defined as dy/dn, measures the rate that output increases with the size of the labor force, and is a measure of labor productivity. (a) Show that (c) Using the a cubic f respond the rate and 200 (d) Discus descri part ( the y (e) Exp data calc ful x C(x) = 58. Money 1955-7 dy k dn an (b) How can you tell from your answer to part (a) that as the size of the labor force increases, the marginal product of labor gets smaller? This is a phenomenon known as the law of diminishing returns, discussed more in the next chapter. 56. Profit An analyst has found that a company's costs and rev- enues in dollars for a product are given by x2 C and R(x) 2x 2 5000' respectively, where x is the number of items produced. (a) Find the marginal cost function. (b) Find the marginal revenue function. (c) Using the fact that profit is the difference between revenue and costs, find the marginal profit function. (d) What value of x makes the marginal profit equal O? (e) Find the profit when the marginal profit is 0. (As we shall see in the next chapter, this process is used to find marimum profit.) A wher in bi find year (a) (C) (e) nad since

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