In a library,there are $a$ books of type $A$,$2$ books of type $B$,$3$ books of type $C$,and $1$ book of type $D$. In how many ways can these books be arranged?

  • A
    $\frac{(a + 6)!}{a! (2!)^1 (3!)^1}$
  • B
    $\frac{(a + 6)!}{a! 2! 3!}$
  • C
    $\frac{(a + 6)!}{a!}$
  • D
    None of these

Explore More

Similar Questions

How many words,with or without meaning,can be formed using all the letters of the word $EQUATION$ at a time so that the vowels and consonants occur together?

If all the possible $3$-digit numbers are formed using the digits $1, 3, 5, 7, 9$ without repeating any digit,then the number of such $3$-digit numbers which are divisible by $3$ is

How many distinct words can be formed using the letters of the word $ARRANGE$?

How many $4$-digit even numbers can be formed using the digits $0, 1, 2, 3, 4, 5, 6$ without repetition?

In how many ways can $4$ letters be selected and arranged from the word $MATHEMATICS$?

Difficult
View Solution

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo