Mathematics: 5.A shipment of 200microwavescontains twentydefective units. In how many ways can a vending company buy fifteenof thesemicrovavesand receivea.No defective units(2pts)b.Exactly two defective units.(2pts)c.At least one defective unit.(2pts)

The graph with the points (0,2) and (1, 1.75) is correct! ...

5.A shipment of 200microwavescontains twentydefective

aashya16

29.07.2021

Step-by-step explanation:

Total no. of goods, n = 200

no. of defective units in the goods, d = 20

hence the no. of proper units,

g = n-d

g = = 200-20

g = 180

ways in which a vending company buys fifteen of these microwaves and receive no defective units be:

$^{180}C_{15}=\frac{180!}{15!\times (180-15)!}$

$\approx 2.83\times 10^{21}$

ways in which a vending company buys fifteen of these microwaves and receive exactly two defective units be:

$^{20}C_2\times ^{180}C_{13}=\frac{20!}{2!\times (20-2)!} \times \frac{180!}{13!\times (180-13)!}$

$\approx 190\times (2.146\times 10^{19})$

$\approx 4.076\times 10^{21}$

ways in which a vending company buys fifteen of these microwaves and receive at least one defective units be:

$^{20}C_{1}\times ^{199}C_{14}=\frac{20!}{1!\times (20-1)!} \times \frac{199!}{13!\times (199-13)!}$

$\approx 20\times (8.258\times 10^{19})$

$\approx 1.652\times 10^{21}$

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