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Past exam of the mathematics course of the University of Cambridge
/
2021
/
iii
/
Paper 160
/
3
/
c
/
i
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Past exam of the mathematics course of the University of Cambridge
2021
iii
Paper 160
3
c
2026-09-28
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Solution
i
Solution
0
0
0
i
Use four beads, for which
(
3
,
1
)
has
beta set
{
6
,
3
,
1
,
0
}
.
(1)
On runners of
residues
0
,
1
,
2
,
3
,
division
by four gives respectively the
beta
sets
{
0
}
,
{
0
}
,
{
1
}
,
{
0
}
.
(2)
Only
{
1
}
represents
a
nonempty partition, namely
(
1
)
. Therefore the
four-quotient of the partition three-one
is
Q
4
(
3
,
1
)
=
(
∅
,
∅
,
(
1
)
,
∅
)
.
(3)
Ancestors
(11)
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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