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I need help understanding this problem regarding permutations and combinations. Can you please explain part b and c in details. What is the number of

I need help understanding this problem regarding permutations and combinations. Can you please explain part b and c in details.

What is the number of 6-bit binary integers with exactly 3 1's? List them in sorted order. (b) What is the number of n-bit binary integers with exactly r 1's? (c) Explain the reason for the equality Pn r=0 C(n, r) = 2n using the n-bit binary integers.

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