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(a). Without loss of generality, we can assume the recorded results are n tuples
each place can be occupied by 1 through 6 numbers.
the result of the first die is independent of the second and so on, we can say each place has 6 choices, two places have 62 , three places have 63 , --- , n places have 6n possibilities.
∴ the total number of available results is 6n.
(b). n six-sided dice
Sequence contains only one 6 =
(Since from n place select one place 6 there and remaining (n-1) place any 5 number could be placed)
(c). Sequence contains exactly four 2's
(Select 4 places from n and place 2 there and remaining (n-4) place any 5 number could be placed )