Question: 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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Do not take criticism personally, even if it is meant to be personal.

2. To understand that as a general rule it takes about 3 minutes before the other part(s) have made up a 90% impression of you.

3. To understand that the first impression means a lot, and it takes a lot of energy to change this first impression.