Find the number of distinct throws which can be thrown with `n` six-faced normal dice, which are indistinguishable among themselves.

In an experiment, n six-faced normal dice are thrown. Find the number of sets of observations which are indistinguishable among themselves.

Find the number of ways in which 8 distinct toys can be distributed among 5 children.

If X denotes the number of sixes in throwing two dice, find the expectation of x

The number of possible outcomes in a throw of n ordinary dice in which at least one of the dice shows an odd number is

Three different positions of the same dice are shown, the six faces of which are numbered 1 to 6. Which number is on the face opposite the face showing’ 1’?

Two different positions of the same dice are shown below, the six faces of which are numbered 1 to 6. Find the number on the face opposite to the one having 2.

Two different positions of the same dice are shown below, the six faces of which are numbered 1 to 6. Find the number on the face oppsite to the one having 5.