Question

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 ?

A. 431, 000
B. 593, 775
C. 427, 518, 000
D. 729, 000, 000

Answer 1

C. 427, 518, 000

Explanation:

-This is a permutation problem.

-A recognition of of permutation of six from a group of 30.

-Hence, the different number of ways is calculated as:

`Ways=_nP_x\\\\=_(30)P_6\\\\=427518000`

The students can be arranged in 427, 518, 000 ways