Problem 160. So many choices

Created by the cyclist

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For inputs n and k (in that order), output the number of ways that k objects can be chosen from amongst n distinct objects. [The order of the selected objects is irrelevant.]

For example, suppose you have 4 blocks: red, green, blue, yellow. How many ways are there to select 2 of them? There are 6 ways: RG, RB, RY, GB, GY, BY. [Remember the ordering is irrelevant, so GR is equivalent to RG, and therefore does not count as a distinct choice.]

So, function(4,2) ---> 6.

Solve

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729 Solutions
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Last Solution submitted on May 21, 2020

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3 Comments

3 Comments

Sumit Agrawal on 10 Sep 2013

Why in my pc showing correct but not in this

the cyclist on 11 Sep 2013

@Sumit, you are probably using a function from a toolbox (e.g. statistics toolbox) that is not available to Cody.

Riccardo Dessì on 25 Feb 2018

http://onlinestatbook.com/2/probability/permutations.html

Solution Comments

Solution 1135935

1 Comment

1 Comment

alexander on 8 Mar 2017

The test suite throws errors where but I get correct answers when I run.

function y = fcn(n,k)
y = size(combntns(1:n,k),1);
end

Solution 14460

1 Comment

1 Comment

Franck Dernoncourt on 30 Jan 2012

Let me import my Statistics Toolbox!
;)

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Problem 160. So many choices

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Problem 160. So many choices

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