The number of ways in which $3$ children can distribute $10$ tickets out of $15$ consecutively numbered tickets themselves such that they get consecutive blocks of $5, 3$ and $2$ tickets is
$^8{C_5}$
$^8{C_5} 3!$
$^8{C_5} (3!)^2$
none of these
How many numbers between $5000$ and $10,000$ can be formed using the digits $1, 2, 3, 4, 5, 6, 7, 8, 9$ each digit appearing not more than once in each number
In how many ways can $5$ red and $4$ white balls be drawn from a bag containing $10$ red and $8$ white balls
The number of words not starting and ending with vowels formed, using all the letters of the word $'UNIVERSITY'$ such that all vowels are in alphabetical order, is
Number of different words that can be formed from all letters of word $APPLICATION$ such that two vowels never come together is -
A group consists of $4$ girls and $7$ boys. In how many ways can a team of $5$ members be selected if the team has no girl?