Number of ordered triplets of natural number (a,b,c) for which `abc <=11` is

. The number of ordered triplets of positive integers which are solutions of the equation x+y+z=100

The number of ordered triplets of positive integers which satisfy the inequality 20 le x. + y + z le 50 is p, then (p - 631)/(100) is equal to _______ .

The number of ordered triplets of positive integers which satisfy the inequality 20lex+y+zle50 is (A) ""^50C_3- "^19C_3 (B) ""^50C_2-"^19C_2 (C) ""^51C_3-"^20C_3 (D) none of these

The number of values of the triplet (a,b,c) for which a cos 2x+b sin^(2)x+c=0 is satisfied by all real x, is

Given L.C.M.of three natural numbers a,b,c is 1000 and if the possible number of ordered triplets (a,b,c) is p^(2), where p is a prime number,then find the value of p

The number of ordered triplets (a,b,c) from the set (1,2,3,4,...100) such that aleblec is equal to

The number of different ordered triplets (a,b,c) ; a,b,c in I such that these can represent sides of a triangle, whose perimeter is 21 , is 9k+10 , then k is