Investing equal amounts of money into each of five business ventures Let's say you plan. 20 to choose from If there are initiatives, how many different ones among 20 initiatives? five startups can be selected?
Question
Answer:
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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11 months ago
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