The remainder obtained when $1! + 2! + 95!$ is divided by $15$ is

The number of non-negative integer solutions of the equations $6x + 4y + z = 200$ and $x + y + z = 100$ is

An eight-digit number divisible by $9$ is to be formed using digits from $0$ to $9$ without repeating the digits. The number of ways in which this can be done is

$^{37}C_4 + \sum_{r=1}^{5} {^{(42-r)}C_r} = $

How many words can be formed using $3$ consonants and $2$ vowels from $5$ consonants and $4$ vowels?

The number of all five-letter words (with or without meaning) having at least one repeated letter that can be formed by using the letters of the word $INCONVENIENCE$ is: