Class 11

Math

Algebra

Permutations and Combinations

Consider the word $W=TALLENTEX$.

The number of rearrangements of the letters of the word $W$ such that $ALLEN$ is always formed is

- $60$
- $59$
- $120$
- $30$

$W=TALLENTEX$

(IMAGE)

Consider $ALLEN$ has a single unit

$⇒$ then total number of words is $5$

No. of arrangements$=2!5! =2120 =60$ as there are $2(T,T)$ repeating letters