How many different 3 topping pizzas can be made if 10 different toppings are available?

Mathematics

2 answers:

qaws [65]2 years ago

6 0

9514 1404 393

Answer:

120

Step-by-step explanation:

We assume the order of the toppings does not matter. Then the number of interest is the number of combinations of 10 toppings taken 3 at a time. That is given by ...

10C3 = C(10, 3) = 10!/(3!(10 -3)!) = 10·9·8/(3·2·1) = 120

120 different 3-topping pizzas can be made if 10 toppings are available.

_____

Additional comment

If order matters, then 10 choices can be made for the first topping, 9 for the second, and 8 for the third, for a total of 10×9×8 = 720 different pizzas.

kicyunya [14]2 years ago

3 0

Assuming you can’t use the same topping twice,
10 x 9 x 8 = 720

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If two distinct planes intersect , then their intersection is a line . Which geometry term does the statement represent

Rom4ik [11]

Answer:

POSTULATE

Step-by-step explanation:

A postulate is a statement that is assumed true without proof. A theorem is a true statement that can be proven

In geometry, the theorem is considered valid or correct with which its assertion is practically not refuted by almost anyone, whether it is really true or not.

This, in practice, implies that all students of the subject share the same criteria on the theory. Thus, the postulates, in short, have the following characteristics:

They are presumed true by most of the scholars in the field.

Its contradiction goes against the very essence of the subject.

Postulate 6: If two planes intersect, then their intersection is a line.

See Attachment for Details ^^

The image attached represents the statement given in the question (If two distinct planes intersect, then their intersection is a line)

Therefore,

The Geometry term that represents the statement above is POSTULATE