No of Combinations of N Identical Things taken Zero or more at once Solution

STEP 0: Pre-Calculation Summary
Formula Used
Number of Combinations = Value of N+1
C = n+1
This formula uses 2 Variables
Variables Used
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.
Value of N - Value of N is any natural number or positive integer that can be used for combinatorial calculations.
STEP 1: Convert Input(s) to Base Unit
Value of N: 8 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
C = n+1 --> 8+1
Evaluating ... ...
C = 9
STEP 3: Convert Result to Output's Unit
9 --> No Conversion Required
FINAL ANSWER
9 <-- Number of Combinations
(Calculation completed in 00.004 seconds)

Credits

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Created by Divanshi Jain
Netaji Subhash University of Technology, Delhi (NSUT Delhi), Dwarka
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Verified by Dhruv Walia
Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand
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14 Combinations Calculators

No of Combinations of N Different Things taken R at once given M Specific Things Always Occur
​ Go Number of Combinations = C((Value of N-Value of M),(Value of R-Value of M))
No of Combinations of (P+Q) Things into Two Groups of P and Q Things
​ Go Number of Combinations = ((Value of P+Value of Q)!)/((Value of P!)*(Value of Q!))
nCr or C(n,r)
​ Go Number of Combinations = (Value of N!)/(Value of R!*(Value of N-Value of R)!)
Nth Catalan Number
​ Go Nth Catalan Number = (1/(Value of N+1))*C(2*Value of N,Value of N)
No of Combinations of N Identical Things into R Different Groups if Empty Groups are Allowed
​ Go Number of Combinations = C(Value of N+Value of R-1,Value of R-1)
No of Combinations of N Different Things taken R at once and Repetition Allowed
​ Go Number of Combinations = C((Value of N+Value of R-1),Value of R)
No of Combinations of N Different Things taken R at once given M Specific Things Never Occur
​ Go Number of Combinations = C((Value of N-Value of M),Value of R)
No of Combinations of N Different Things, P and Q Identical Things taken Atleast One at once
​ Go Number of Combinations = (Value of P+1)*(Value of Q+1)*(2^Value of N)-1
Maximum Value of nCr when N is Odd
​ Go Number of Combinations = C(Value of N (Odd),(Value of N (Odd)+1)/2)
No of Combinations of N Identical Things into R Different Groups if Empty Groups are Not Allowed
​ Go Number of Combinations = C(Value of N-1,Value of R-1)
Maximum Value of nCr when N is Even
​ Go Number of Combinations = C(Value of N,Value of N/2)
No of Combinations of N Different Things taken R at once
​ Go Number of Combinations = C(Value of N,Value of R)
No of Combinations of N Different Things taken Atleast One at once
​ Go Number of Combinations = 2^(Value of N)-1
No of Combinations of N Identical Things taken Zero or more at once
​ Go Number of Combinations = Value of N+1

No of Combinations of N Identical Things taken Zero or more at once Formula

Number of Combinations = Value of N+1
C = n+1

What are Combinations?

In combinatorics, Combinations refer to the different ways of selecting a subset of items from a larger set without regard to the order of selection. Combinations are used to count the number of possible outcomes when the order of selection does not matter. For example, if you have a set of three elements {A, B, C}, the Combinations of size 2 would be {AB, AC, BC}. In this case, the order of the items within each combination does not matter, so {AB} and {BA} are considered the same combination.

How to Calculate No of Combinations of N Identical Things taken Zero or more at once?

No of Combinations of N Identical Things taken Zero or more at once calculator uses Number of Combinations = Value of N+1 to calculate the Number of Combinations, The No of Combinations of N Identical Things taken Zero or more at once formula is defined as the total number of ways of selecting zero or more things from ‘n’ identical things. Number of Combinations is denoted by C symbol.

How to calculate No of Combinations of N Identical Things taken Zero or more at once using this online calculator? To use this online calculator for No of Combinations of N Identical Things taken Zero or more at once, enter Value of N (n) and hit the calculate button. Here is how the No of Combinations of N Identical Things taken Zero or more at once calculation can be explained with given input values -> 8 = 8+1.

FAQ

What is No of Combinations of N Identical Things taken Zero or more at once?
The No of Combinations of N Identical Things taken Zero or more at once formula is defined as the total number of ways of selecting zero or more things from ‘n’ identical things and is represented as C = n+1 or Number of Combinations = Value of N+1. Value of N is any natural number or positive integer that can be used for combinatorial calculations.
How to calculate No of Combinations of N Identical Things taken Zero or more at once?
The No of Combinations of N Identical Things taken Zero or more at once formula is defined as the total number of ways of selecting zero or more things from ‘n’ identical things is calculated using Number of Combinations = Value of N+1. To calculate No of Combinations of N Identical Things taken Zero or more at once, you need Value of N (n). With our tool, you need to enter the respective value for Value of N and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Number of Combinations?
In this formula, Number of Combinations uses Value of N. We can use 12 other way(s) to calculate the same, which is/are as follows -
  • 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))
  • Number of Combinations = C((Value of N-Value of M),Value of R)
  • Number of Combinations = 2^(Value of N)-1
  • Number of Combinations = (Value of N!)/(Value of R!*(Value of N-Value of R)!)
  • Number of Combinations = C(Value of N (Odd),(Value of N (Odd)+1)/2)
  • Number of Combinations = C(Value of N,Value of N/2)
  • Number of Combinations = (Value of P+1)*(Value of Q+1)*(2^Value of N)-1
  • Number of Combinations = ((Value of P+Value of Q)!)/((Value of P!)*(Value of Q!))
  • Number of Combinations = C(Value of N+Value of R-1,Value of R-1)
  • Number of Combinations = C(Value of N-1,Value of R-1)
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