3 dice are rolled number of distinct possible outcomes if all dice distinct
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When 3 dice are rolled possible outcomes are 6×6×6=216
out of these 3 outcomes contain same number on all dice
consider 3 blank places
We have to sales one number for the first place from 1 to 6 in 6 ways then the remaining 2 places can be filled by the other 5 numbers in 5p2 ways 5×4=20
total number of ways of filling 3 blanks with 6 distinct numbers is 6×20=120
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