Suppose you own 24 articles of clothing such that you have:12 tops (e.g., shirts),8 bottoms(e.g., pants), and 4 pairs of shoes. How many distinct outfits (comprised of a top, bottoms, and shoes) can you make?

a)How many length-6 strings over ={a, b, c, . . . , y, z}contain the substring hello?

b)How many length-6 binary strings are palindromes?

c)There are 73 courses being offered by the Department of Computer Science for Spring2021.Suppose students may register for exactly four CS courses each. How many distinct student schedules are possible?

How many spanning trees does the graph, G2, have? b d f 1 9 k : a. h j