How many ways to arrange the letters of SCIENCE BRAIN
such that there are exactly 3 sets of the same letter conseculatively.
the total number of ways when doing regularily is 14!/2^4
since the question says that it wants 3 sets of the same letter conseculatively im thinking i would find that there are 13!/2^3 ways to have 1 set of the same letter consecutatively...except that just blocks one set of letters and doesnt garuntee for the other letters..and normally when doing PIE the cases are the opposite of the question so should i be finding the ways such that they are not consecutive?