Clara has three meats from which to choose (the four available, minus the one she will not eat); she has five vegetables from which to choose (the six available minus the one to which she is allergic). She can do one of the following:

Case 1: She can choose one meat and three vegetables.

She can choose one of three meats. 

She can choose three of five vegetables; the number of ways to do so is

The number of possible pizzas with one meat and three vegetables is 

Case 2: She can choose two meats and two vegetables.

She can choose two of three meats. There are three ways to do this, since choosing two meats means leaving one out; there are three ways to choose which meat to leave out.

She can choose two of five vegetables; the number of ways to do so is

The number of possible pizzas with two meats and two vegetables is 

The total number of combinations of toppings from which Clara can choose is 

Melissa paid $575 rent for each month from March to December - ten months - for a total of 

.

Add to this her prorated February rent and her security deposit (she was not late with any rent payments, hence no penalties); Melissa paid

Henry's rent is $645 per month; multiply this by 12 to get yearly rent before the penalty.

Henry paid his November rent three days late, so multiply the daily penalty of $20 by 3 to get the total penalty.

Add the regular yearly rent and the November penalty:

The increment that is added to each successive term to obtain the next term is doubled each time.

, the number in the circle

, the number in the square, which is the correct choice.

Beginning with the third term, each term is the sum of the previous two:

, the number in the circle;

, the number in the square.

The number that is added to each term to obtain the next one increases by 2 each time:

If we let  be the number in the circle, then to maintain the pattern,

so

. This is the correct choice. 

Each term, beginning with the third, is the sum of the previous two:

If  is the term in the circle, then 

and

.

In an arithmetic sequence, each term is obtained by adding the same number to the previous term - the common difference. Since , 6 is the common difference. The next two terms are:

19 replaces the square and is the correct choice.

In a geometric sequence, each term is obtained by muliplying the previous term by the same number - the common ratio. 

Since , 7 is the common ratio. The next two numbers in the sequence are 

343 replaces the square; of the four choices, 350 comes closest and is the correct response.

There are three ways to choose a meat topping - four minus the one Mike won't eat.

There are five vegetable toppings - six minus the one to which John is allergic - from which to choose three. This is

The number of ways to make a Special Pizza that leaves out anchovies and mushrooms is