Question 1153215

The fundamental counting principle states that if {{{A}}} and {{{B}}} are independent events, and there are {{{a}}} ways for event {{{A}}} to happen and {{{b}}} ways for event {{{B}}} to happen, then there are {{{a * b}}} ways for both events to happen.

We are given that there are {{{6}}} questions, and each question has {{{5 }}}choices. 

Thus, there are 

{{{5}}} ways to answer the first question, 
{{{5}}} ways to answer the second question, 
{{{5}}} ways to answer the third question, 
{{{5}}} ways to answer the fourth question, 
{{{5}}} ways to answer the fifth question, and 
{{{5}}} ways to answer the sixth questions
 
To find the total number of ways to answer the whole test, we multiply these all together.

    {{{5 *5 *5 * 5 * 5 * 5=5^6 =15625}}}

We get that there are {{{15626}}} different ways to answer the whole test, so there are {{{15626}}} different answer keys possible for this test.