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

How many pairs of positive integers m and n satisfy the equation (1)/(m) +(4)/(n) =(1)/(12) where n is an odd integer less than 60?

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

The number of ordered pairs (m,n), where m, n in {1,2,3, …..,50}, such that 6^(m)+9^(n) is a multiple of 5 is -

The number of ordered pairs (m,n) where m , n in {1,2,3,…,50} , such that 6^(m)+9^(n) is a multiple of 5 is

The number of all pairs (m, n), where m and n are positive integers, such that 1/(m)+1/(n)+1/(mn)=2/(5) is

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