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Paraphin [41]
3 years ago
5

A dance instructor chose four of his 10 students to be on stage for a performance. If order does not matter, in how many differe

nt ways can the instructor choose the four students?
Mathematics
2 answers:
atroni [7]3 years ago
5 0

Answer:

the answer is B) 210

Step-by-step explanation:

i got it right on edge 2020 :)

Vikki [24]3 years ago
4 0
This is a combination in which you choose 4 from 10.
The formula is
combinations = 10! / 4! * (10-4)!
combinations = 10! / 4! * 6!
combinations = 10 * 9 * 8 * 7 * 6! / 4! * 6!
combinations = 10 * 9 * 8 * 7 / 4 * 3 * 2
combinations = 10 * 3 * 7
combinations = 210
Source:
http://www.1728.org/combinat.htm


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8 0
3 years ago
A conical paper cup is 10 cm tall with a radius of 10 cm. The cup is being filled with water so that the water level rises at a
Alborosie

Answer:

Water is being pored in the cone with the rate of 401.92 cm³ per second.

Step-by-step explanation:

There is a cone having height h = 10 cm and radius r = 10 cm

That means h = r

Rate of change of water level \frac{dh}{dt}=2 cm per second

Since volume of a cone is represented by the formula,

V=\frac{1}{3}\pi r^{2}h

Now we have to find the value of \frac{dV}{dt}.

\frac{dV}{dt}=\frac{d}{dt}(\frac{1}{3}\pi r^{2}h)

Since r = h

\frac{dV}{dt}=\frac{d}{dt}(\frac{1}{3}\pi h^{3} )

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Therefore, water is being pored with the rate of 401.92 cm³ per sec.

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3 years ago
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