Hello :)
The first one would be a rotation because it was easily rotated upward , it looks like it was rotated maybe 90°, The second one would be translation because it is simply moved upward and moved slightly to the right without be resized, rotated, or anything. The third one would definitely be a reflection because it appears to be flipped across the x axis. The fourth one i'm not really sure but i'm going to guess it is a rotation because it is turned in a different direction from the original figure.
It follows from the definition of the binomial coefficient:

So we have

That is,
gets absorbed into the numerator's factorial, and we introduct
into the denominator. Now,
, so we get

as required.
The 1st one is true
the 2nd one is false
the 3rd one is false
the 4th one is true
the 5th one is true
Answer:
Thank you have a nice day:)