Next letter can be selected in only 2 ways..for e.g if we select A, then the next letter can be A or C, but it cannot be B..since A cannot be followed by B.
Similarly, for the remaining letters, we will have only 2 options.
itna andhkar chaya hua hai ki 채rtof problem solving" ..art of living dikh rha tha..
Define a "good word" as a sequence of letters that consists only of the letters A , B, and C - some of these letters may not appear in the sequence - and in which A is never immediately followed by B, B is never immediately followed by C, and C is never immediately followed by A. How many seven-letter good words are there?
A _ _ _ _ _ _ so, 2.2... so, 2^6 choices similarly when it start with B , C .. hence 3.2^6 I guess.
In a regular tetrahedron the centers of the four faces are the vertices of a smaller tetrahedron. The ratio of the volume of the smaller tetrahedron to that of the larger is m/n, where m and n are relatively prime positive integers. Find m + n.
dimensions of the smaller cube will be (1/2)(2/3) times the larger one.
So, volume of the smaller one will be 1/27 times the larger one.