Find n, if P(n,4) : P(n+1,5) = 1:9

Find n if "^(n-1)P_3 : "^nP_4 =1:9 .

Find n if ""^(n-1)P_(3) : ""^(n)P_(4) = 1:16 .

Find the value of n , if ((n - 1)!)/(n!) = 1/9

Find n if : 2^5P_3= "^nP_4 .

Find n, if ""^(2n)C_(1),""^(2n)C_(2) and ""^(2n)C_(3) are in A.P.

Find n if ""^nC_4 , ""^nC_5 and ""^nC_6 are in A.P.

Let P(n) denote the statement that n^2+n is odd . It is seen that P(n)rArr P(n+1),P(n) is true for all

In the figure, if P is (2, 4, 5), find the co-ordinates of N.

Let P(n) be the statement : “the arithmetic mean of n and (n + 2) is the same as their geometric mean”’. Prove that P(1) is not true. Also prove that if P(n) is true, then P(n + 1) is also true. How does this contradict the principle of Induction ?