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(a) For each cube there are 6 possible outcomes. Then for n cubes there will be possible sequences
(b) We have exactly one six in n tosses. Since number six can occur anywhere in the sequence(but exactly once), there is n such places( 6 on the first place, on the second, ... , on the nth place). On each of the others (n-1) places can occur any number except of 6. So, there are totally such sequences
(c) sequences contain exactly four twos, assuming n ⩾ 4. There is places where twos can be placed. On the others (n-4) places can occur anything except of 2. So, there is possible sequences for any of the places where 2 occured. Totally we got sequences