There are 9 cups placed on a table arranged in equal number of rows and columns out of which 6 cups contain coffee and 3 cups contain tea. In how many ways can they be arranged so that each row should contain at least one cup of coffee?

Consider all 3-digit numbers (without repetition of digits) obtained using three non-zero digits which are multiples of 3. Let S be their sum.

Which of the following is/are correct?

1. S is always divisible by 74.

2. S is always divisible by 9.

select the correct answer using the code given below:

On a chess board, in how many different ways can 6 consecutive squares be chosen on the diagonals along a straight path ?

Using 2, 2, 3, 3, 3 as digits, how many distinct numbers greater than 30000 can be formed ?