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Past exam of the mathematics course of the University of Cambridge
/
2021
/
iii
/
Paper 160
/
3
/
c
/
ii
/
Solution
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2021
iii
Paper 160
3
c
ii
2026-09-28
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A
two-runner
partition abacus
gives
Q
2
(
3
,
1
)
=
((
2
)
,
∅
)
,
Q
2
(
2
)
=
(
∅
,
(
1
))
,
(1)
and the
2
-
quotients
of
(
1
)
and
∅
are empty. Thus the
two-quotient tower of the partition three-one
has nonempty levels
T
Q
2
(
3
,
1
)
0
=
((
3
,
1
))
,
T
Q
2
(
3
,
1
)
1
=
((
2
)
,
∅
)
,
T
Q
2
(
3
,
1
)
2
=
(
∅
,
(
1
)
,
∅
,
∅
)
.
(2)
Ancestors
(12)
ii
c
3
Paper 160
iii
2021
Past exam of the mathematics course of the University of Cambridge
Mathematics course of the University of Cambridge
Course of the University of Cambridge
University of Cambridge
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