COMBINA function

PRO BASIC

The COMBINA function in Jspreadsheet Formulas Pro is a mathematical tool that calculates the total number of possible combinations for a specific set of items, while allowing for repetitions. It takes two arguments: the total number of items and the number of items in each combination. This function is particularly useful in probability and statistics, where it can be used to determine the likelihood of particular outcomes given a certain set of possibilities.

Documentation

Returns the number of combinations with repetitions for a given number of items.

Syntax

COMBINA(number, number_chosen)

Parameter	Description
`number`	The total number of items you have to choose from.
`number_chosen`	The number of items you want to choose. Must be a positive integer.

Behavior

The COMBINA function calculates the number of combinations (with repetitions) for a given number of items. It takes two arguments: the total number of items and the number of items in each combination. It returns the number of possible combinations.

If either argument is a text, boolean, or error, COMBINA returns a #VALUE! error.
If either argument is non-numeric, COMBINA returns a #VALUE! error.
If number_chosen is less than 0, or if number is negative, COMBINA returns a #NUM! error. Unlike COMBIN, the number of items can exceed the total because repetition is allowed.
If the total number of items is less than 0, COMBINA returns a #NUM! error.
Empty cells are interpreted as 0, which may trigger a #NUM! error if either argument becomes invalid (e.g., negative or missing required value).

Common Errors

Error	Description
`#VALUE!`	This error occurs when either argument is non-numeric, or if either argument is a boolean, text, or error.
`#NUM!`	This error is returned if the number of items in each combination is less than 1 or greater than the total number of items, or if the total number of items is less than 0.

Best practices

You do not need the number_chosen to be less than or equal to the total number of items when using COMBINA, since repetitions are allowed.

The COMBINA function only works with whole numbers. If either argument is a decimal, it will be truncated.

Be mindful of the order in which the arguments are given. The first argument is the total number of items and the second is the number of items in each combination.

Remember that COMBINA function considers repetitions, so the number of combinations will be larger compared to the COMBIN function for the same set of items.

Usage

A few examples using the COMBINA function.

| Formula            | Explanation                                               | Result |
|--------------------|-----------------------------------------------------------|--------|
| COMBINA(3, 2)       | 3 items, choosing 2 with repetition                       | 6      |
| COMBINA(4, 3)       | 4 items, choosing 3 with repetition                       | 20     |
| COMBINA(2, 1)       | 2 items, choosing 1 with repetition (same as without)     | 2      |
| COMBINA(2, 4)       | 2 items, choosing 4 with repetition allowed               | 5      |

Interactive Spreadsheet Demo

<html>
<script src="https://jspreadsheet.com/v11/jspreadsheet.js"></script>
<script src="https://jsuites.net/v5/jsuites.js"></script>
<link rel="stylesheet" href="https://jsuites.net/v5/jsuites.css" type="text/css" />
<link rel="stylesheet" href="https://jspreadsheet.com/v11/jspreadsheet.css" type="text/css" />

<link rel="stylesheet" href="https://fonts.googleapis.com/css?family=Material+Icons" />
<script src="https://cdn.jsdelivr.net/npm/@jspreadsheet/formula-pro/dist/index.min.js"></script>

<div id="spreadsheet"></div>

<script>
// Set your JSS license key (The following key only works for one day)
jspreadsheet.setLicense('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');

// Set the extensions
jspreadsheet.setExtensions({ formula });

// Create a new spreadsheet
jspreadsheet(document.getElementById('spreadsheet'), {
  worksheets: [{
    data: [
    [
        "Items",
        "Choose",
        "Combinations with Repetition"
    ],
    [
        4,
        2,
        "=COMBINA(A2,B2)"
    ],
    [
        5,
        3,
        "=COMBINA(A3,B3)"
    ],
    [
        3,
        4,
        "=COMBINA(A4,B4)"
    ]
]
  }]
});
</script>
</html>

import React, { useRef } from "react";
import { Spreadsheet, Worksheet, jspreadsheet } from "@jspreadsheet/react";
import formula from "@jspreadsheet/formula-pro";
import "jsuites/dist/jsuites.css";
import "jspreadsheet/dist/jspreadsheet.css";

// Set license
jspreadsheet.setLicense('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');

// Set the extensions
jspreadsheet.setExtensions({ formula });

export default function App() {
    // Spreadsheet array of worksheets
    const spreadsheet = useRef();

    // Worksheet data
    const data = [
    [
        "Items",
        "Choose",
        "Combinations with Repetition"
    ],
    [
        4,
        2,
        "=COMBINA(A2,B2)"
    ],
    [
        5,
        3,
        "=COMBINA(A3,B3)"
    ],
    [
        3,
        4,
        "=COMBINA(A4,B4)"
    ]
];

    // Render component
    return (
        <Spreadsheet ref={spreadsheet}>
            <Worksheet data={data} />
        </Spreadsheet>
    );
}

<template>
    <Spreadsheet ref="spreadsheet">
        <Worksheet :data="data" />
    </Spreadsheet>
</template>

<script>
import { Spreadsheet, Worksheet, jspreadsheet } from "@jspreadsheet/vue";
import "jsuites/dist/jsuites.css";
import "jspreadsheet/dist/jspreadsheet.css";
import formula from "@jspreadsheet/formula-pro";

// Set license
jspreadsheet.setLicense('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');

// Set the extensions
jspreadsheet.setExtensions({ formula });

export default {
    components: {
        Spreadsheet,
        Worksheet,
    },
    data() {
        // Worksheet data
        const data = [
    [
        "Items",
        "Choose",
        "Combinations with Repetition"
    ],
    [
        4,
        2,
        "=COMBINA(A2,B2)"
    ],
    [
        5,
        3,
        "=COMBINA(A3,B3)"
    ],
    [
        3,
        4,
        "=COMBINA(A4,B4)"
    ]
]

        return {
            data
        };
    }
}
</script>

import { Component, ViewChild, ElementRef } from "@angular/core";
import jspreadsheet from "jspreadsheet";
import * as formula from "@jspreadsheet/formula-pro";

// Set your JSS license key (The following key only works for one day)
jspreadsheet.setLicense('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');

// Set the extensions
jspreadsheet.setExtensions({ formula });

@Component({
    standalone: true,
    selector: "app-root",
    template: `<div #spreadsheet></div>`
})
export class AppComponent {
    @ViewChild("spreadsheet") spreadsheet: ElementRef;
    // Worksheets
    worksheets: jspreadsheet.worksheetInstance[];

    // Create a new data grid
    ngAfterViewInit() {
        // Create spreadsheet
        this.worksheets = jspreadsheet(this.spreadsheet.nativeElement, {
            worksheets: [{
                data: [
    [
        "Items",
        "Choose",
        "Combinations with Repetition"
    ],
    [
        4,
        2,
        "=COMBINA(A2,B2)"
    ],
    [
        5,
        3,
        "=COMBINA(A3,B3)"
    ],
    [
        3,
        4,
        "=COMBINA(A4,B4)"
    ]
]
            }]
        });
    }
}

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