A speculator has identified 300 token coins to invest in. The speculator wishes to have a portfolio of 30 coins. 30% of the stock are identified as bit-coin based, 45% as etherium based and 11% as other. Each individual coin has a 30% chance of increasing in value of the next year: 1. How many different ways could the 3 types of coin be combined within the portfolio of 30 coins if the order they’re combined is not important? 2. How many different ways could the 3 types of coin be combined within the portfolio of 30 coins if the order they’re combined is important? 3. Assuming a binomial distribution what is probability that exactly 12 of the 30 coins in the portfolio increase in value of the next year?

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