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answering second question,,,u can take clue for the 1st one from this one....
In how many ways can the word 'arrange' be arranged such that neither 2 'r' nor 2'a' are allowed to come together ?
total number of letters= 7
total ways of arranging "arrange" = 7! / 2!*2! = 1260
now take 2 "r" and 2 "a" in one packet each...then total ways of arranging these 2 packets and the remaining 3 letters = 5! = 120
now ways in which 2 "r" and 2 "a" do not come together = 1260 - 120 = 1140
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