Question

how many seven letter words can be formed with the letters of the word VALEDICTORIANS without repetition, such that the word starts with s, does not end in a vowel and when the letters A and E are in the word, they are always together?​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Given,

The word VALEDICTORIANS

To Find,

How many seven-letter words can be formed without repetition, such that the word starts with s, does not end in a vowel, and when the letters A and E are in the word given they are always together.

Solution,

The formula to be used in this sum is

$4P3$ × $4 f$

Where P is the permutation and

where f is the factorial

$\frac{4f}{(4-3)f}$  ×  $4$ × $3$ × $2$ ×$1$

$4$ × $3$ × $2$× $1$ × $4$× $3$ × $2$ ×$1$

= $576$

We can say that $576$ words can be made

$576$ words can be formed from the word VALEDICTORIANS without repetition, such that the word starts with s, does not end in a vowel, and when letters A and E are in the word given, they are always together.