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NeX [460]
2 years ago
13

Which of the following has the same value as C(10, 3)? O P(10, 3) O C(10,7) O C(9,6)

Mathematics
1 answer:
horsena [70]2 years ago
3 0

Answer:  C(10,7)

Reason:

We can numerically compute both C(10, 3) and C(10, 7) and we would get 120 for each result.

Use the nCr combination formula

nCr = \frac{n!}{r!(n-r)!}

In general we have the rule C(n, r) = C(n, n-r)

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320 numbers with 3 digits that are odd

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Is it possible to have a triangle with 150 20 20 degrees angle and why ?
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4 0
3 years ago
2(x-3) = (x-1) + 7<br><br> Please show your steps!!
andre [41]
Simplify the equation.

First, distribute the 2 in the left side of the equation.
Resulting in: 2x-6 = (x-1) + 7

Second, remove the parentheses form the right side of the equation (there is nothing to distribute there).
Resulting in: x - 1 + 7

Now simplify the right side of the equation by subtracting the 1 from the 7.
Resulting in: x + 6

Our goal is to isolate the x to the left side, and the numerals to the right side.
With that in mind, add the 6 (from the right side) to both sides. This cancels out the 6 on the right side.
Resulting in: 2x = 12

Lastly, in order to fully isolate the variable (x), we divide both sides by 2.
Resulting in: x = 6

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6 0
4 years ago
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Type the correct answer in the box
algol13

c = cost of food/med for cats

d = cost of food/med for dog

y = total cost/spent

What you know:

y = 6c + d              [has 6 cats and 1 dog]  

c = 2/3d - 5        [cost for cat is 5 less than 2/3 cost for dog]

y = $195

y = 6c + d    

Substitute/plug in what you know, plug in (2/3d - 5) for c and 195 for y

195 = 6(2/3d - 5) + d        Distribute/multiply 6 into (2/3d - 5)

195 = 4d - 30 + d        Combine like terms

195 = 5d - 30      Add 30 on both sides of the equation

225 = 5d        Divide 5 on both sides

$45 = d            

5 0
3 years ago
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