You have a set A with n elements. How many k-element subsets B ⊆ A are there? How many subsets B ⊆ A are there in total? Explain your answers. Use the above reasoning to give a proof of the equation: ∑nk=0(n choose k) = 2^n.
Added by Mariano F.
Step 1
To do this, we can use the formula for combinations, which is: n choose k = n! / (k! * (n-k)!) This formula gives us the number of ways to choose k elements from a set of n elements without regard to order. So, the number of k-element subsets B⊂A is: n choose k Show more…
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