# COMBIN

### Definition of COMBIN

Returns the number of ways to choose some number of objects from a pool of a given size of objects.

### Sample Usage

`COMBIN(4,2)`

`COMBIN(A2,B2)`

### Syntax

`COMBIN(n, k)`

• `n` - The size of the pool of objects to choose from.

• `k` - The number of objects to choose.

### Notes

• `COMBIN` is the standard combinatorics function typically notated nCk and read "n choose k". This is equivalent to `FACT(n)/(FACT(k)*FACT(n-k))`.

`MULTINOMIAL`: Returns the factorial of the sum of values divided by the product of the values' factorials.

`FACTDOUBLE`: Returns the "double factorial" of a number.

`FACT`: Returns the factorial of a number.

### By adding the values you would like to calculate, Excellentable generates the outcome:

A
B
C
1
State
 Population
Total area in mi2
Land area in mi2
Water area in mi2
2
Alabama
4833722
52,420 (135,767)
3
735132
665,384 (1,723,337)
4
Arizona
6626624
113,990 (295,233)
5
Arkansas
2959373
53,179 (137,733)
6
California
38332521
163,695 (423,968)
7
5268367
104,094 (269,602)
8
Connecticut
3596080
5,543 (14,356)
9
Delaware
925749
2,489 (6,446)
10
Florida
19552860
65,758 (170,312)
11
Georgia
9992167
59,425 (153,910)
12
Hawaii
1404054
10,932 (28,314)
13
Idaho
1612136
83,569 (216,443)
14
15
D
E
F
1
House seat(s)
2
50,645 (131,170)
1,775 (4,597)
8
3
570,641 (1,477,950)
94,743 (245,383)
1
4
113,594 (294,207)
396 (1,026)
9
5
52,035 (134,770)
1,143 (2,960)
4
6
155,779 (403,466)
7,916 (20,502)
53
7
103,642 (268,432)
452 (1,171)
7
8
4,842 (12,541)
701 (1,816)
5
9
1,949 (5,048)
540 (1,399)
1
10
53,625 (138,888)
12,133 (31,424)
27
11
57,513 (148,958)
1,912 (4,950)
14
12
6,423 (16,635)
4,509 (11,678)
2
13
82,643 (214,044)
926 (2,398)
2
14
15
COMBIN(8, 2):
28

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