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MATH / A, B and C are circular regions as shown. There are 7 items in circle C. There are exactly 20 items in A and 10 of those items are not in B. How many items are in B, but not in C? …

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

AA, BB and CC are circular regions as shown. There are 7 items in circle CC. There are exactly 20 items in AA and 10 of those items are not in BB. How many items are in BB, but not in CC? [asy] draw(Circle((0,0),50)); label("AA",(39,39)); draw(Circle((10,-10),32)); label("BB",(-16,16)); draw(Circle((5,-5),20)); label("CC",(22,-22)); [/asy]
Plain-text mathematical notation (without MathML)
A, B and C are circular regions as shown. There are 7 items in circle C. There are exactly 20 items in A and 10 of those items are not in B. How many items are in B, but not in C?

[asy]
draw(Circle((0,0),50));
label("A",(39,39));
draw(Circle((10,-10),32));
label("B",(-16,16));
draw(Circle((5,-5),20));
label("C",(22,-22));
[/asy]
Original LaTeX notation
$A$, $B$ and $C$ are circular regions as shown. There are 7 items in circle $C$. There are exactly 20 items in $A$ and 10 of those items are not in $B$. How many items are in $B$, but not in $C$?

[asy]
draw(Circle((0,0),50));
label("$A$",(39,39));
draw(Circle((10,-10),32));
label("$B$",(-16,16));
draw(Circle((5,-5),20));
label("$C$",(22,-22));
[/asy]

level

Level 1

type

Counting & Probability

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Source and history

task_id
1138dafb-c2f7-57c3-a454-43aeba49963d
task_key
counting~5fand~5fprobability--test--1138dafb-c2f7-57c3-a454-43aeba49963d
task_revision_id
1
config / split
counting_and_probability / test

Official source

initial import