PERMUT


Description Computes the number of combinations possible by taking k items at a time from a pool of n, where order in the sample taken is important.

For example, in a box of four different items, the number of combinations possible taking out 2 items at a time is 12; that is, the twelve combinations of items 1-2, 1-3, 1-4, 2-1, 2-3, 2-4, 3-1, 3-2, 3-4, 4-1, 4-2, and 4-3.

Syntax PERMUT ( number, chosen)

Argument Description
number A positive integer representing the total number of items in the pool of items. Decimal numbers are truncated to integers.
chosen A positive integer representing the number of items taken from the pool at a time. It must be less than or equal to number. Decimal values are truncated to integers.

Remarks This function is similar to the COMBIN function, except that PERMUT requires the samples to be ordered, while COMBIN takes samples in any order.

Equation

where n is the total number of items and k is the number of items taken at a time.

Examples This function returns 12:

PERMUT(4,2)

This function returns 30240:

PERMUT(10, 5)

See Also COMBIN, GAMMALN