Call/Put options for Finance

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I'm working with put/call options for a finance class, and am having just a little bit of confusion with the formulae. For call options, I know that the formula to determine price (C(0)) is equivalent to C(t) = $\left(\frac{s^u - p_c}{s^u-s^d}\right)$ * s(t) - $s^d$ $\left(\frac{B(t)}{B(1)}\right)$ where t = 0, of course.

I know that put options are very similar, but instead of being given the option of buying the asset, the owner is given the option to sell (at the 'strike price') at a given date. Thus, I'm thinking that the two formula are very similar, however we have not been taught in class what it was, and I was curious.

Any help would be greatly appreciated!