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) from the set {1,2,3,4,...,100} such that a<=b<=c is equal to

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

3^(2n )+7 is divisible by (A) 8 (B) 4 (C) 16

Find number of surjection from A to B where A={1,2,3,4,5},B={a,b,c}

If a^(2) + b^(2) + c^(2) = 2(a-b-c)-3 , then the value of 4a - 3b + 5c is

A five-digit number is written down at random. The probability that the number is divisible by 5 and no two consecutive digits are Identical is a. 1/5 b. 1/5(9/(10))^3 c. (3/5)^4 d. none of these

Let a,b,c,d be real numbers such that |a-b|=2, |b-c|=3, |c-d|=4 Then the sum of all possible values of |a-d|=

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

Let A ={1,2,3},B={3,4},C={4,5,6}. then Acup (B cap C) is