6.1 1 a) and b) Let x be a string of length n, and let y be a string of length n − k, for 1 ≤ k < n. We wish to line up the symbols in x with the symbols in y by adding k blanks to y. a) Suppose that we decide to add the k blanks in one continuous block. How many ways are there to do this? b) Suppose that we add two separate blocks of blanks, one of size i and one of size k − i, for 1 ≤ i < k. How many ways are there to do this?

A) N-k+1 possible ways

B) 8 ways ( different outcomes )

Step-by-step explanation:

A) length of  X = n

length of Y = n - k

number of ways to add k blanks in one  continuous block

that would be n - k +1 and this because since we already have n-k blanks in y already

B ) how many ways to add two separate blocks of blanks

one size is ; i

one size ; k - i

The number of ways will be 8 since the block of blanks are separated into two blocks

trapezoid

step-by-step explanation:

first i plotted all my points on a grid graph

i made sure all of them were in the correct quadrant

then i saw it was a trapezoid or a quadrilateral

6mm^3 or .6cm^3

      216

      /   \

  36     6

  /   \     /

6     6   6

factor trees are nice.