An examination consists of 11 questions. If 6 questions must be answered, find the number of different orders in which a student can answer the questions.
A)151,200
B)332,640
C)17
D)66
E)1,771,561

Question

An examination consists of 11 questions. If 6 questions must be answered, find the number of different orders in which a student can answer the questions. ​
A)151,200
B)332,640
C)17
D)66
E)1,771,561

Quizplus · Accepted Answer

This is a permutation problem since the order of answering the questions matters. The number of different orders can be found using the formula for permutation:

P(11,6) = 11!/(11-6)! = 11!/5! = 11 x 10 x 9 x 8 x 7 x 6 = 332,640

Therefore, the best choice is B.

An Examination Consists of 11 Questions