A teacher has 30 students in a classroom. She has 6 seats in the front row. How many ways can she arrange her students to sit in the front row?

427,518,000  ways.

Step-by-step explanation:

-This is a permutation problem of the form:

Where n is the number of objects and r is the number of objects taken at a time.

-Permutation is a linear order or sequence arrangement of a set's elements.

-The number of ways can therefore be calculated as:

Hence, the 30 students can be arranged in 427,518,000 different ways.

b) 36

step-by-step explanation:

18 times 2 is 36