n=4

# matches	0	1	2	3	4	Total
# outcomes	9	8	6	0	1	24
Probability	.375	.333	.250	0	.042	1.00

n=5:

# matches	0	1	2	3	4	5	Total
# outcomes	44	45	20	10	0	1	120
Probability	.367	.375	.167	.083	0	.0083	1.00

n=6:

# matches	0	1	2	3	4	5	6	Total
# outcomes	265	264	135	40	15	0	1	720
Probability	.368	.367	.188	.056	.021	0	.001	1.00

n=7:

# matches	0	1	2	3	4	5	6	7	Total
# outcomes	1854	1855	924	315	70	21	0	1	5040
Probability	.3679	.3681	.1833	.0625	.0139	.0042	0	.0002	1.00

n=8:

# matches	0	1	2	3	4	5	6	7	8	Total
# outcomes	14833	14832	7420	2464	630	112	28	0	1	40320
Probability	.3679	.3679	.1840	.0611	.0156	.0028	.0007	0	.000025	1