How many different ways can the letters of word EQUATION are arranged so that all vowels do not come together?

= 2520 ways. And, total number of arrangements of all the letters = [Number of arrangements of (C), (R), (P), (R), (T), (N) and (OOAIO)] × [Number of arrangements of (OOAIO)] = 20 × 2520 = 50400.

How many different arrangement can be formed from the letter of the word EQUATION?

The word “Equation” has 8 letters all of which are unique. For the letters in between the end letters, there are 6 of them (5 vowels and the one consonant we didn’t use) and can be placed anywhere. That’s 6! =720 .

How many ways can the letters of the EQUATION be arranged so that all the vowels come together?

The number of ways the word TRAINER can be arranged so that the vowels always come together are 360.

How many different arrangement can be formed from the letters of the word EQUATION if each arrangement begins and ends with consonant?

Hence, we can form a total 4320 different words ending and beginning with consonants with the letters of the word EQUATION.

How many different ways a word can be arranged?

=n×(n−1)×(n−2)×…… ×3×2×1. Therefore, we can arrange the letters in the word ‘FACTOR’ in 720 ways. Thus, this is the required answer.

How many different arrangements can be made using all the letters of the word computer how many of them begin with a vowel and end with a consonant?

Therefore, there are 56 ways to arrange COMPUTER, given the above constraint. Alternatively we can choose to position the vowels first. We will get C(8,3) = 56 ways to select a combination of positions on which the vowels must stay.

How many arrangements can be made from the letters of the word equation so that the vowels always remain in the order a e i/o u?

Put the vowels (euaio) together – there are 5!= 120 such arrangements.

How many different arrangements can be made from all the letters in word pandemic?

There are 15,120 ways.