Question

how many words with or without meaning,can be formed using all the letter of the word EQUATION ,using each letter exactly once
maths problems​

Answer 1

Answer:

Hence, 40320 words with or without meaning can be formed using all the letters of the word EQUATION, using each letter exactly once.

Step-by-step explanation:

Given word is: EQUATION

Number of letters in the given word = 8

We need to use all the letters at a time. So,

Numbers of letters to be used = 8

As we know that number of different possible arrangements of “n” given items taken “m” at

a time is given by: nPm

For the given case:

Number of given items = n = 8

Number of items taken at a time = m = 8

So, total number of words to be formed =nPm=8P8

Now let us solve the term.

Total number of words to be formed

=8P8=8!(8−8)! [∵nPr=n!(n−r)!]=8!0!=8!1 [∵0!=1]=8!=8×7×6×5×4×3×2×1=40320

Hence, 40320 words with or without meaning can be formed using all the letters of the word EQUATION, using each letter exactly once