Question: 7. In each case, determine which is larger. Justify your answer a). The number of points in R^m that a unit path of length n

7. In each case, determine which is larger. Justify your answer

a). The number of points in R^m that a unit path of length n that starts at the origin could end at, or the number of different multisets of size n that are composed entirely of 1's, 2's, 3's, . . . and m's?

b) The sum of the number of unit paths to (a1, a2, , am) in R ^n over all points with a1 +a2 + + am = n, or m^n?

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