Question

A written exam consists of 6 questions with the answer options as yes/ no / none. In how many ways can the examinees select the answers?​

Answer 1

Answer: 729

Step-by-step explanation:

There are 6 questions  each question have 3 options

Number of ways answer can be chosen of first question= $_{1}^{3}\textrm{C}=3$

Number of ways answer can be chosen of second question= $_{1}^{3}\textrm{C}=3$

Similarly there is possible 3 ways to choose an answer of each question

Total number of ways = 3 x 3 x 3 x 3 x 3 x 3= $3 ^6 = 729$

Hence, the examines can select the answer in 729 ways