Acatering service offers 8 appetizers, 9 main courses, and 11 desserts. a customer is to select 4 appetizers, 7 main courses, and 10 desserts for a banquet. in how many ways can this be done?

The order doesn't matter.

objects can be chosen out of objects, when the order doesn't matter, in ways.

There are 27,700 ways.

take the top number and divide it by a the bottom number

step-by-step explanation:

1/2 1 divied by 2 = .5

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places