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Inessa [10]
3 years ago
11

Solve by factoring x^2-4x+6

Mathematics
1 answer:
deff fn [24]3 years ago
4 0

Since there's no equation there, there's nothing to solve.

If you'd like to see it in factored form, that would be ...

     x²-4x+6 = <em>(x - 2 - i√2) (x - 2 + i√2)</em> .


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Step-by-step explanation:

Total number of combinations of selecting r things out of n things is given by:-

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Total cards in a deck = 52

Total number of ways of choosing 8 cards out of 52 = ^{52}C_8

Total number of ways to choose 5 clubs and 3 cards with one of each remaining suit = ^{13}C_5\times^{13}C_1\times^{13}C_1\times^{13}C_1  [since 1 suit has 13 cards]

The required probability = =\dfrac{^{13}C_5\times^{13}C_1\times^{13}C_1\times^{13}C_1}{^{52}C_8}

=\dfrac{\dfrac{13!}{5!8!}\times13\times13\times13}{\dfrac{52!}{8!44!}}\\\\=\dfrac{24167}{6431950}\\\\\approx0.003757

Hence, the required probability is 0.003757 (approx).

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