Thomas asked in 教育與參考考試 · 1 decade ago

離散數學問題????需要幫忙解答

1.Find the number of 13-card bridge hands selected from an ordinary

52-card deck. How many bridge hands contain all four aces?

2.A shipment of 50 microprocessors of which 4 are defective. In how

many ways can we select a set of 4 non-defective microprocessors?

4. What is the coefficient of x^7 in (1+x)^11 ?

請各位大大幫忙解答~~~~謝謝

2 Answers

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  • 1 decade ago
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    1.Find the number of 13-card bridge hands selected from an ordinary

    52-card deck. How many bridge hands contain all four aces?

    從52章樸克牌組中選出13張,有多少種有全部四張A

    52-4=48,扣除4張A,還有48張,

    13-4=9,從剩下的48張選出9張的組合,

    所以有48×47×46×45÷4÷3÷2=194580種

    2. A shipment of 50 microprocessors of which 4 are defective. In how

    many ways can we select a set of 4 non-defective microprocessors?

    50個處理器中有四個是壞的,挑出一組四個不是壞的,有幾種方式?

    50-4=46

    從剩下的46個選出4個的組合,

    所以有46×45×44×43÷4÷3÷2=163185種

    4. What is the coefficient of x^7 in (1+x)^11 ?

    在(1+x)的十一次方中,x七次方的係數

    也就是從11組(1+x)中取7組為x的組合

    所以有11×10×9×8×7×6×5÷7!=330

  • 1 decade ago

    謝謝~~感恩

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