Answer:
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Step-by-step explanation:
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The answer is 6200
i think
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Answer:
Step-by-step explanation:
The total number of colours is 17.
The number of colours that have to be chosen is 4.
Here, it is given that order is not important. That is, 4 colours can be chosen from the 17 colours in any order.
Since, the order is not important, combinations rule is used to obtain the number of ways in which colours can be chosen among the 17 distinct colours.
The number of different ways in which 4 colours can be chosen among the 17 colours without giving importance to order is obtained as shown below;
17c4=17!/4!=17×16×15×14×13×12×11×10×9×8×7×8×7×6×5=2.48031e13
I'm not 100% sure, sorry, but I believe it is C.
Answer:
So, the coefficient of x8 in the given expansion will be 210.
Step-by-step explanation:
We know,
General term in (x+a)n is given by,
Tr+1=C(n,r)xn−rar
∴ General term in (x2−1x)10 ,
Tr+1=C(10,r)(x2)10−r(−1x)r
⇒Tr+1=(−1)rC(10,r)x20−2rx−r
Now, we have to find the term having coefficient x8.
∴20−2r−r=8⇒r=4
So, T5 will have coefficient x8.
∴T5=(−1)4C(10,4)x8
⇒T5=10⋅9⋅8⋅74⋅3⋅2⋅1x8
⇒T5=210x8