math_bags.xlsx

	A	B	C	D	F	G	H	I	K	N	P
1	AAAA	AABA	AACA	AADA	AAA	ABA	ACA	ADA	numUnique(4,4) = numUnique(4,3) + numUnique(3,3) + numUnique(2,3) + numUnique(1,3)
2	AAAB	AABB	AACB	AADB	AAB	ABB	ACB	ADB
3	AAAC	AABC	AACC	AADC	AAC	ABC	ACC	ADC	numUnique(1,anything) = 1
4	AAAD	AABD	AACD	AADD	AAD	ABD	ACD	ADD
5									4*4 - 3 - 2 - 1	4+3+2+1
6	ABAA	ABBA	ABCA	ABDA	BAA	BBA	BCA	BDA	3*3 - 2 - 1	3+2+1	3+2+1
7	ABAB	ABBB	ABCB	ABDB	BAB	BBB	BCB	BDB	2 * 2 - 1	2+1	2+1
8	ABAC	ABBC	ABCC	ABDC	BAC	BBC	BCC	BDC	1*1 - 0	1	1
9	ABAD	ABBD	ABCD	ABDD	BAD	BBD	BCD	BDD
10										3+2+1	2+1
11	ACAA	ACBA	ACCA	ACDA	CAA	CBA	CCA	CDA		2+1	1
12	ACAB	ACBB	ACCB	ACDB	CAB	CBB	CCB	CDB		1
13	ACAC	ACBC	ACCC	ACDC	CAC	CBC	CCC	CDC			1
14	ACAD	ACBD	ACCD	ACDD	CAD	CBD	CCD	CDD		2+1
15										1
16	ADAA	ADBA	ADCA	ADDA	DAA	DBA	DCA	DDA
17	ADAB	ADBB	ADCB	ADDB	DAB	DBB	DCB	DDB		1
18	ADAC	ADBC	ADCC	ADDC	DAC	DBC	DCC	DDC
19	ADAD	ADBD	ADCD	ADDD	DAD	DBD	DCD	DDD
20									numUnique(4,3) = numUnique(4,2) + numUnique(3,2) + numUnique(2,2) + numUnique(2,1)
21									numUnique(4,2) = numUnique(4,1) + numUnique(3,1) + numUnique(2,1) + numUnique(1,1)
22									numUnique(n,1) = n
23
24	15				6+5+4+3+2+1		21
25	10				5+4+3+2+1		15
26	6				4+3+2+1		10
27	3				3+2+1		6
28	1				2+1		3
29					1		1
30
31
32		6,3,3,2		= 2031