Question 1185201
<pre>
{{{drawing(300,300,-4,4,-5,4,
rectangle(-4,-3.5,4,4),
circle(0,-.5,2),
locate(-2.3,2,"d=?"),
locate(-3.5,-2,"k=?"),
locate(0,-2.7,C),
locate(-.45,-1,"j=?"),
locate(.6,.4,"i=?"),
circle(sqrt(2),sqrt(2),2),
locate(-3.5,2.5,A),
circle(-sqrt(2),sqrt(2),2),
locate(3.5,2.5,B),
locate(-1.5,.5,"g=?"),
locate(-.4,2.3,"e=?"),
locate(1.8,2,"f=?"),
locate(-.4,1.1,"h=?") )}}}

​​n(A ∩ B ∩ C​)=6​, ​​n(A′ ∩ B′ ∩ C′​)=19​, so h=6, k=19

{{{drawing(300,300,-4,4,-5,4,
rectangle(-4,-3.5,4,4),
circle(0,-.5,2),
locate(-2.3,2,"d=?"),
locate(-3.5,-2,"k=19"),
locate(0,-2.7,C),
locate(-.45,-1,"j=?"),
locate(.6,.4,"i=?"),
circle(sqrt(2),sqrt(2),2),
locate(-3.5,2.5,A),
circle(-sqrt(2),sqrt(2),2),
locate(3.5,2.5,B),
locate(-1.5,.5,"g=?"),
locate(-.4,2.3,"e=?"),
locate(1.8,2,"f=?"),
locate(-.4,1.1,"h=6") )}}}

n(A ∩ C​)=13​ = g+h, and since h=6, g=13-6=7

{{{drawing(300,300,-4,4,-5,4,
rectangle(-4,-3.5,4,4),
circle(0,-.5,2),
locate(-2.3,2,"d=?"),
locate(-3.5,-2,"k=19"),
locate(0,-2.7,C),
locate(-.45,-1,"j=?"),
locate(.6,.4,"i=?"),
circle(sqrt(2),sqrt(2),2),
locate(-3.5,2.5,A),
circle(-sqrt(2),sqrt(2),2),
locate(3.5,2.5,B),
locate(-1.5,.5,"g=7"),
locate(-.4,2.3,"e=?"),
locate(1.8,2,"f=?"),
locate(-.4,1.1,"h=6") )}}}

n(B ∩ C​)=11​ = h+i, and since h=6, i=11-6=5 


{{{drawing(300,300,-4,4,-5,4,
rectangle(-4,-3.5,4,4),
circle(0,-.5,2),
locate(-2.3,2,"d=?"),
locate(-3.5,-2,"k=19"),
locate(0,-2.7,C),
locate(-.45,-1,"j=?"),
locate(.6,.4,"i=5"),
circle(sqrt(2),sqrt(2),2),
locate(-3.5,2.5,A),
circle(-sqrt(2),sqrt(2),2),
locate(3.5,2.5,B),
locate(-1.5,.5,"g=7"),
locate(-.4,2.3,"e=?"),
locate(1.8,2,"f=?"),
locate(-.4,1.1,"h=6") )}}}


​n(A ∩ B′​)=8​ = d+g, and since g=7, d=8-7=1

{{{drawing(300,300,-4,4,-5,4,
rectangle(-4,-3.5,4,4),
circle(0,-.5,2),
locate(-2.3,2,"d=1"),
locate(-3.5,-2,"k=19"),
locate(0,-2.7,C),
locate(-.45,-1,"j=?"),
locate(.6,.4,"i=5"),
circle(sqrt(2),sqrt(2),2),
locate(-3.5,2.5,A),
circle(-sqrt(2),sqrt(2),2),
locate(3.5,2.5,B),
locate(-1.5,.5,"g=7"),
locate(-.4,2.3,"e=?"),
locate(1.8,2,"f=?"),
locate(-.4,1.1,"h=6") )}}}

​​n(A)=15​ = d+e+g+h, and since d=1, g=7, and h=6, e=15-1-7-6 = 1   ​ ​

​{{{drawing(300,300,-4,4,-5,4,
rectangle(-4,-3.5,4,4),
circle(0,-.5,2),
locate(-2.3,2,"d=1"),
locate(-3.5,-2,"k=19"),
locate(0,-2.7,C),
locate(-.45,-1,"j=?"),
locate(.6,.4,"i=5"),
circle(sqrt(2),sqrt(2),2),
locate(-3.5,2.5,A),
circle(-sqrt(2),sqrt(2),2),
locate(3.5,2.5,B),
locate(-1.5,.5,"g=7"),
locate(-.4,2.3,"e=1"),
locate(1.8,2,"f=?"),
locate(-.4,1.1,"h=6") )}}}

n(B ∩ C′​)=3​ = e+f, and since e=1, f=3-1=2

​​{{{drawing(300,300,-4,4,-5,4,
rectangle(-4,-3.5,4,4),
circle(0,-.5,2),
locate(-2.3,2,"d=1"),
locate(-3.5,-2,"k=19"),
locate(0,-2.7,C),
locate(-.45,-1,"j=?"),
locate(.6,.4,"i=5"),
circle(sqrt(2),sqrt(2),2),
locate(-3.5,2.5,A),
circle(-sqrt(2),sqrt(2),2),
locate(3.5,2.5,B),
locate(-1.5,.5,"g=7"),
locate(-.4,2.3,"e=1"),
locate(1.8,2,"f=2"),
locate(-.4,1.1,"h=6") )}}}

​n(B ∪ C​)=33 = e+f+g+h+i+j, and since e=1, f=2, g=7, h=6, i=5,
j = 33-1-2-7-6-5 = 12

​​{{{drawing(300,300,-4,4,-5,4,
rectangle(-4,-3.5,4,4),
circle(0,-.5,2),
locate(-2.3,2,"d=1"),
locate(-3.5,-2,"k=19"),
locate(0,-2.7,C),
locate(-.45,-1,"j=12"),
locate(.6,.4,"i=5"),
circle(sqrt(2),sqrt(2),2),
locate(-3.5,2.5,A),
circle(-sqrt(2),sqrt(2),2),
locate(3.5,2.5,B),
locate(-1.5,.5,"g=7"),
locate(-.4,2.3,"e=1"),
locate(1.8,2,"f=2"),
locate(-.4,1.1,"h=6") )}}}

Edwin</pre>