The number of positive integers satisfying the inequality `C(n+1,n-2)-C(n+1,n-1)<=100` is

The number of positive integers satisfying the inequality ""^(n+1)C_(3) - ""^(n-1) C_(2) le 100 is

The number of positive intergers satisfying the in-equality ""^(n+1)C_(n-2)-""^(n+1)C_(n-1)le100 , is

The least positive integer value of n satisfying the inequality C(10,n-1)>2C(10,n) is

The number of positive integer pairs (m,n) where n is odd,that satisfy (1)/(m)+(4)/(n)=(1)/(12) is

The number of positive integers which satisfy sin((pi)/(4n))+cos((pi)/(4n))=sqrt((n)/(2)) is -

The number of positive integers n in the set {1, 2, 3, .......100} for which the number (1^(2)+2^(2)+3^(2)+......+n^(2))/(1+2+3+......+n) is an integer is

Let a_n denote the number of all n-digit positive integers formed by the digits 0, 1, or both such that no consecutive digits in them are 0. Let b_n= The number of such n-digit integers ending with digit 1 and c_n= Then number of such n-digit integers with digit 0. The value of b_6 is