Question

For a college debate competition, Daniel must select one topic of six topics to speak at the first level. He must also select a different topic from the same list to speak at the second level of the competition. How many ways can he choose the topics for the two levels?

Answer 1

30

Explanation:

level one topics a-e

level two topics 1-6

a2 a3 a4 a5 a6

b1, b3, b4, b5 b6

ca c2 c4 c5 c6

d1, d2, d3, d5, d6

e1 e2, e3, e4, e6

f1 f2, f3 f4 f5