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 ordered triplets (a,b,c) from the set {1,2,3,4,...,100} such that a<=b<=c 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

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

Let N be the number of triplets (a,b,c) where a,b,c in{1,2,3,4,5} such that , 2^(a)+3^(b)+5^(c) is divisible by 4. Then the sum of digits of N is

Let a,b,c in N, then number of ordered triplet (a,b,c) such that 5a+6b+3c=50

the total number of ways of selecting two number from the set {1,2,3,4,…..3n} so that their sum divisible by 3 is equal to -

The total number of ways of selecting two numbers from the set {1,2,3,4,........3n} so that their sum is divisible by 3 is equal to a.(2n^(2)-n)/(2) b.(3n^(2)-n)/(2) c.2n^(2)-n d.3n^(2)-n

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 total number of onto functions from the set {1,2,3,4) to the set (3,4,7) is