There are $4$ parcels and $5$ post-offices. In how many different ways can the registration of the parcels be made?

$A$ student is to answer $10$ out of $13$ questions in an examination such that he must choose at least $4$ from the first $5$ questions. The number of choices available to him is

The number of words which can be formed from the letters of the word $MAXIMUM$,if two consonants cannot occur together,is

How many numbers greater than $100$ and divisible by $5$ can be made from the digits $3, 4, 5, 6$,if no digit is repeated?

Four-digit numbers are formed using the digits $1, 2, 3, 4$ (repetition is allowed). The number of such four-digit numbers divisible by $11$ is

If $^8C_r = ^8C_{r+2}$,then the value of $^rC_2$ is