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# Investing equal amounts of money into each of five business ventures Let&#39;s say you plan. 20 to choose from If there are initiatives, how many different ones among 20 initiatives? five startups can be selected?

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## Answer to a math question Investing equal amounts of money into each of five business ventures Let&#39;s say you plan. 20 to choose from If there are initiatives, how many different ones among 20 initiatives? five startups can be selected?

Maude
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The number of ways to choose 5 startups from 20 is given by the combination formula, which is often read as "20 choose 5". The formula for combinations is: C$n, k$ = \frac{n!}{k!$n-k$!} where n is the total number of items, k is the number of items to choose, and ! denotes factorial, which is the product of all positive integers up to that number. So, in this case, we have: C$20, 5$ = \frac{20!}{5!$20-5$!} Calculating this gives us 15,504. So, there are 15,504 different ways to choose 5 startups from 20.

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