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COMBINA

The number of ways to choose a number of items from a set, repeats allowed and order not counting.

Group: Math. Compatible with DAX.

Syntax

COMBINA ( <number>, <number_chosen> )
ParameterTypeDescription
numberWhole numberHow many kinds of item there are to choose from.
number_chosenWhole numberHow many are chosen; the same kind may be picked again.

Returns

Number. How many different groups of that size can be picked when repeats are allowed and the order does not count.

Remarks

  • Three scoops from four flavours, the same flavour allowed twice: COMBINA ( 4, 3 ) is 20.
  • It equals COMBIN ( number + number_chosen - 1, number_chosen ).
  • Unlike COMBIN, more may be chosen than there are kinds: COMBINA ( 2, 5 ) is 6.
  • Both numbers are rounded to whole numbers first. Choosing 0 gives 1; a negative number is an error, and so is choosing any from 0 kinds.

Examples

With repeats allowed

EVALUATE
ROW (
    "3 of 4 flavours", COMBINA ( 4, 3 ),
    "As COMBIN", COMBIN ( 4 + 3 - 1, 3 ),
    "5 of 2", COMBINA ( 2, 5 )
)
3 of 4 flavoursAs COMBIN5 of 2
20206

COMBIN, PERMUT, FACT.

Last updated · OpenBI Studio 0.3.74