Question

A multiple-choice test contains 11 questions. There are four possible answers for each question. In how many ways can a student answer the questions on the test if the student can leave answers blank

Answer 1

Answer:

$Ways = 48828125$

Step-by-step explanation:

Given

$Questions = 11$

$Options = 4$

Required

Determine the number of ways

If the student can leave answers blank, the the options become:

$Options = 4 + 1$

$Options = 5$

The student can pick any of the 5 available options in each of the 11 questions.

Hence:

$Ways = 5^{11}$

$Ways = 48828125$