In how many ways can $5$ prizes be distributed among $4$ boys,if each boy can receive any number of prizes?

The number lock of a suitcase has $4$ wheels,each labelled with ten digits,i.e.,from $0$ to $9$. The lock opens with a sequence of four digits with no repeats. What is the probability of a person getting the right sequence to open the suitcase?

The number of different permutations of letters that can be formed by taking $4$ letters at a time from the letters of the word '$REPETITION$' is

The letters of the word $MODESTY$ are written in all possible orders and these words are written out as in a dictionary. Then,the rank of the word $MODESTY$ is:

How many words can be formed by arranging the letters of the word $MISSISSIPPI$ such that no two $S$ are together?

If all the seven letters of the word $LEADING$ are permuted in all possible ways and the words thus formed are arranged as in the dictionary order,then the word in $2017^{\text{th}}$ place is