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

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

The number of ordered triplets (a,b,c) such that L.C.M.(a,b)=1000, L.C.M.(b,c)=2000 and L.C.M.(c,a)=2000

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

The probability that a number selected at random from the set of numbers {1,2,3,...,100} is a square is

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

If a,b,c are three natural numbers in AP such that a+b+c=21 and if possible number of ordered triplet (a,b,c) is lambda, then the value of (lambda-5) is

Let A = [[0,1,0],[1,0,0],[0,0,1]] . Then the number of 3 xx 3 matrices B with entries from the set {1, 2, 3, 4, 5} and satisfying AB = BA is _______.