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Statement 1: The number of ways in which...

Statement 1: The number of ways in which three distinct numbers can be selected from the set `{3^1,3^2,3^3, ,3^(100),3^(101)}` so that they form a G.P. is 2500. Statement 2: if `a ,b ,c` are in A.P., then `3^a ,3^b ,3^c` are in G.P.

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Statement-1: The total number of ways in which three distinct numbers in AP, can be selected from the set {1,2,3, . .,21}, is equal to 100. Statement-2: If a,b,c are inn AP, then a+c=2b.