Question

There are 6 multiple choice questions in examination. How many sequences of lswers are possible, if the first three questions have 4 choices each and the next three have 2 each ?

Answer 1

Each one of the first three questions can be answered in 4 ways. $\therefore$ The total number of ways to answered the first three question = $4\times 4\times 4=64$ Each of the next three question can be answered in 2 ways.
$\therefore$The total number of ways the answered the next three questions = $2\times 2\times 2=8$ so, total number of sequences at answers $64\times 8=512$