How many combinations of 3 students can a teacher choose from 32 students? A. 96 B. 4960 C. 29,760 D. 32,768

Mathematics

2 answers:

rusak2 [61]3 years ago

5 0

${32\choose3}=\frac{32!}{3!*(32-3)!}=\frac{30*31*32}{6}=4960$

Allisa [31]3 years ago

3 0

$\frac{32*31*30}{3*2*1}$

The answer is: $\frac{29760}{6}$ or $4960$

You might be interested in

Please show all work with the answers please

kenny6666 [7]

Part A

The angle of elevation of the staire case is given by

$Angle\ of\ elevation=\tan^{-1}{ \frac{Vertical\ rise}{landing} } \\ \\ =\tan^{-1}{ \frac{14}{20} }\approx35^o$

Part B:

If the landing of each step is changed to 17 inches and the elevation of each step to 21 inches, the new angle of elevation for the staircase is given by

 $Angle\ of\ elevation=\tan^{-1}{ \frac{Vertical\ rise}{landing} } \\ \\ =\tan^{-1}{ \frac{17}{21} }\approx39^o$

5 0

3 years ago

Two containers designed to hold water are side by side, both in the shape of a

Arisa [49]

Answer:1564cm cube

Step-by-step explanation: v= $\pi$ r2h

v=22/7*6*6*14=1564.containter b volume of water is the total volume in container a so you just have to find container a volume

3 0

3 years ago

Read 2 more answers

Where is Yoda in the fourth movie what is that green place called??

o-na [289]

I believe its called Dagobah

4 0

3 years ago

Read 2 more answers

Why does the fact family for 81 and 9 have only two number sentences

Julli [10]

It only has two number sentences because 81 divided by anything else wont work only 9 would. Also since 9 times 9 is equal to 81

8 0

3 years ago

Read 2 more answers

Where might be a lesser sooty owl be found sleeping?

emmainna [20.7K]

The Lesser Sooty Owl is a strictly nocturnal bird. Hides & sleeps during the day in dense foliage, between tangles of aerial roots, in all kinds of crevices, or beneath overhanging banks. Hunts in clearings and near roads, but also inside forest.

8 0

3 years ago