Hmm. Tough question when looking at theymos because for theymos, it’s not about being wise but strategy. Well, the second guy is definitely not smart. Actually, he is the dumbest because he is investing $5,000 on what? Random altcoins? Waste of money. Evaluating these two, I would say the smartest person here is Mr Bob because he didnt invest in some crap he doesn’t know, and he equally doesn’t have to wait for 100 weeks (that’s actually how long it takes to DCA $10,000 at the rate if $100 every week) to completely invest his money. And if you further think about it, in that 100 days which is 1 year and 11 months, Bob may have cashed out.
in my opinion, there is no concrete answer on this particular question because we don't know what the market will look like so there are so many factors in play to determine which option would be the best one. from what i understand, we are talking about profits here, right?
so if you want to really determine which one will give you the most profits, you need to consider a certain time frame and consider those 3 options and see what you will get. the option with other alts alone is quite difficult because it depends on the alt itself. the movement is also tough to predict. whereas, even if you decide to choose with btc, the variable of price itself is the factor.
but if we are talking about the risks involved, i can opt for number with the DCA method. at least you are taking action according to the market movement. on the other hand, if you go all in with btc all at once, it means, you are taking all the risks that comes with it before you cash out your btc.
also, if i may add. if a person will choose any of this type of investment. he should also consider what kind of dedication he can give into this. because if he has little to no time, of course it is easy to choose. just go for option 1. but if you have time to observe and make analysis of the market, you can go for either option 2 or 3.