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No of Combinations of (P+Q) Things into Two Groups of P and Q Things Formula

GoNo of Combinations of N Different Things taken R at once Formula

GoNo of Combinations of N Different Things taken R at once and Repetition Allowed Formula

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Number of Combinations is defined as the total number of unique arrangements that can be made from a set of items, without regard to the order of the items. Check FAQs

C = \frac{(p + q)!}{(p!) \cdot (q!)}

C - Number of Combinations?p - Value of P?q - Value of Q?

No of Combinations of (P+Q) Things into Two Groups of P and Q Things Example

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Here is how the No of Combinations of (P+Q) Things into Two Groups of P and Q Things equation looks like with Values.

Here is how the No of Combinations of (P+Q) Things into Two Groups of P and Q Things equation looks like with Units.

Here is how the No of Combinations of (P+Q) Things into Two Groups of P and Q Things equation looks like.

1716 = \frac{(7 + 6)!}{(7!) \cdot (6!)}

1716 = \frac{(7 + 6)!}{(7!) \cdot (6!)}

1716 = \frac{(7 + 6)!}{(7!) \cdot (6!)}

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No of Combinations of (P+Q) Things into Two Groups of P and Q Things Solution

Follow our step by step solution on how to calculate No of Combinations of (P+Q) Things into Two Groups of P and Q Things?

FIRST Step Consider the formula

C = \frac{(p + q)!}{(p!) \cdot (q!)}

Next Step Substitute values of Variables

∴

C = \frac{(7 + 6)!}{(7!) \cdot (6!)}

Next Step Prepare to Evaluate

∴

C = \frac{(7 + 6)!}{(7!) \cdot (6!)}

LAST Step Evaluate

∴

C = 1716

No of Combinations of (P+Q) Things into Two Groups of P and Q Things Formula Elements

Variables

Number of Combinations

Number of Combinations is defined as the total number of unique arrangements that can be made from a set of items, without regard to the order of the items.

Symbol: C

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Combinations

Value of P

Value of P is any natural number or positive integer that can be used for combinatorial calculations.

Symbol: p

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Value of P

Value of Q

Value of Q is any natural number or positive integer that can be used for combinatorial calculations.

Symbol: q

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Value of Q

Credits

Created by Diwanshi Jain

Netaji Subhash University of Technology, Delhi (NSUT Delhi), Dwarka

Diwanshi Jain has created this Formula and 300+ more formulas!

Verified by Nikita Salampuria

The National Institute of Engineering (NIE), Mysuru

Nikita Salampuria has verified this Formula and 600+ more formulas!

Other Formulas to find Number of Combinations

Go No of Combinations of N Different Things taken R at once

C = C (n, r)

Go No of Combinations of N Different Things taken R at once and Repetition Allowed

C = C ((n + r - 1), r)

Go No of Combinations of N Different Things taken R at once given M Specific Things Always Occur

C = C (\begin{matrix} n - m \\ r - m \end{matrix})

Go No of Combinations of N Different Things taken R at once given M Specific Things Never Occur

C = C ((n - m), r)

Other formulas in Combinations category

Go Nth Catalan Number

C n = (\frac{1}{n + 1}) \cdot C (2 \cdot n, n)

How to Evaluate No of Combinations of (P+Q) Things into Two Groups of P and Q Things?

No of Combinations of (P+Q) Things into Two Groups of P and Q Things evaluator uses Number of Combinations = ((Value of P+Value of Q)!)/((Value of P!)*(Value of Q!)) to evaluate the Number of Combinations, The No of Combinations of (P+Q) Things into Two Groups of P and Q Things formula is defined as the total number of ways in which (p + q) things can be divided into two groups of p and q things, where p and q are distinct natural numbers. Number of Combinations is denoted by C symbol.

How to evaluate No of Combinations of (P+Q) Things into Two Groups of P and Q Things using this online evaluator? To use this online evaluator for No of Combinations of (P+Q) Things into Two Groups of P and Q Things, enter Value of P (p) & Value of Q (q) and hit the calculate button.

FAQs on No of Combinations of (P+Q) Things into Two Groups of P and Q Things

What is the formula to find No of Combinations of (P+Q) Things into Two Groups of P and Q Things?

The formula of No of Combinations of (P+Q) Things into Two Groups of P and Q Things is expressed as Number of Combinations = ((Value of P+Value of Q)!)/((Value of P!)*(Value of Q!)). Here is an example- 792 = ((7+6)!)/((7!)*(6!)).

How to calculate No of Combinations of (P+Q) Things into Two Groups of P and Q Things?

With Value of P (p) & Value of Q (q) we can find No of Combinations of (P+Q) Things into Two Groups of P and Q Things using the formula - Number of Combinations = ((Value of P+Value of Q)!)/((Value of P!)*(Value of Q!)).

What are the other ways to Calculate Number of Combinations?

Here are the different ways to Calculate Number of Combinations-

Number of Combinations=C(Value of N,Value of R)
Number of Combinations=C((Value of N+Value of R-1),Value of R)
Number of Combinations=C((Value of N-Value of M),(Value of R-Value of M))

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No of Combinations of (P+Q) Things into Two Groups of P and Q Things Formula

​GoNo of Combinations of N Different Things taken R at once Formula

​GoNo of Combinations of N Different Things taken R at once and Repetition Allowed Formula

No of Combinations of (P+Q) Things into Two Groups of P and Q Things Example

No of Combinations of (P+Q) Things into Two Groups of P and Q Things Solution

No of Combinations of (P+Q) Things into Two Groups of P and Q Things Formula Elements

Credits

Other Formulas to find Number of Combinations

Other formulas in Combinations category

How to Evaluate No of Combinations of (P+Q) Things into Two Groups of P and Q Things?

FAQs on No of Combinations of (P+Q) Things into Two Groups of P and Q Things

Variable Name

GoNo of Combinations of N Different Things taken R at once Formula

GoNo of Combinations of N Different Things taken R at once and Repetition Allowed Formula