Apizza restaurant allows you to choose any 2 of 7 toppings. how many
different ways are there to choose the toppings?

21

Step-by-step explanation:

You have 7 options for two toppings, to find the numer of combinatios you need to do the following:

this is because you have 7 toppings, so for the first one you are going to choose you have all the 7 options available, then for the second one, since you already picked one, you have 6 options left. This is why you multiply 7*6 =42

and finally divide by 2 to eliminate the duplicates. For example in the 42 options you have both pepperoni with ham, and ham with pepperoni, this are really the same combination just in a different order, so you must divide by two.

The answer is 21 combinations

< coa = 150 ( given)

as ba and bc are tangents

so oc and oa is perpendicular to cb and ab respectively because in circle normal passes through centre

so in quadrilateral oabc

< coa + < oab + < ocb + < abc = 360

150 +90+90 + < abc = 360

330 + < abc = 360

< abc = 360 -330 = 30

so < abc = 30

⭐dhruv⭐

answer   download the app called socratic on your phoner:

step-by-step explanation: