The number of permutations of the letters of the word 'CONSEQUENCE'- in which all the three E's are together, is

Question

The number of permutations of the letters of the word 'CONSEQUENCE'- in which all the three E's are together, is (A)  9!3!  (B)  (9!/2!)  (C)  (9!/2!2!3!)  (D)  (9!/2!3!)

Tardigrade Admin · Accepted Answer

Required number of permutations =(9!/2!2!).

Q. The number of permutations of the letters of the word $^{'} CONSEQ U ENC E^{'}$ - in which all the three $E^{'} s$ are together, is

$9! 3!$

$\frac{9 !}{2 !}$

$\frac{9 !}{2 ! 2 ! 3 !}$

$\frac{9 !}{2 ! 3 !}$

$\frac{9 !}{2 ! 2 !}$

Required number of permutations $= \frac{9 !}{2 ! 2 !} .$

Q. The number of permutations of the letters of the word ′CONSEQUENCE′- in which all the three E′s are together, is

9!3!

2!9!​

2!2!3!9!​

2!3!9!​

2!2!9!​

Required number of permutations =2!2!9!​.