This function calculates the number of possible combinations for a specified number of items.

Syntax

COMBIN(k,n)

Arguments

This function has these arguments:

Argument |
Description |

k |
Number representing the number of items; if not an integer, the number is truncated; must be positive and greater than or equal to n |

n |
Number of items in each possible permutation; if not an integer, the number is truncated; must be positive |

Remarks

A combination is any set or subset of items, regardless of the internal order of the items. Contrast with permutation (the PERMUT function).

The number of combinations is calculated as follows:

Data Types

Accepts numeric data for both arguments. Returns numeric data.

Examples

COMBIN(C4,B2)

COMBIN(B3,5)

COMBIN(R1C2,2)

COMBIN(8,2) gives the result 28

COMBIN(100,3) gives the result 161700