How many words can be formed from the letters of the word optical?

114 words can be made from the letters in the word optical.

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 ways can the letters of the word friends be rearranged if the vowels are together?

120 ways. So total no of words = Answer to the problem = 4*6*120=2880 words. Consider EIIOBLMPSS. This is one such arrangement.

How many ways can the letters of word cooperation be arranged so that the vowels are never together?

Required number of ways = (120 x 6) = 720. In how many different ways can the letters of the word ‘CORPORATION’ be arranged so that the vowels always come together?

How many different ways can the letters of the word magic can be formed?

Answer: Now, 5 letters can be arranged in 5 = 120 ways.

How many ways word EQUATION can be arranged?

= 2419200 How many ways the letters of the word EQUATION can be arranged if the vowels and consonants always occur together? Solution : There are 8 letters in the word ‘EQUATION of which 5 are vowels 3 are consonants.

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 ways are possible to arrange the letters of the word machine?

Required number of ways = (360 * 2) = 720. In how many different ways can the letters of the word ‘MACHINE’ be arranged so that the vowels may occupy only the odd positions? Now, 3 vowels can be placed at any of the three places, out of the four marked 1, 3, 5,7.

How many different ways can you arrange the letters of the word passenger such that the two’s never occur together?

Total number of such arrangements possible = 8! / 2!

How many different ways can the letters of the word corporation be arranged so that the vowels always come together 1 point 810 1440 2880 50400?

= 20 ways. 3! Required number of ways = (2520 x 20) = 50400.

How many different ways Corporation arranged?

Solution(By Examveda Team) In the word ‘CORPORATION’, we treat the vowels OOAIO as one letter. Thus, we have CRPRTN (OOAIO). This has 7 (6 + 1) letters of which R occurs 2 times and the rest are different. Number of ways arranging these letters = 7!

How many ways can you arrange the letters of the word optical?

Answer: The word ‘OPTICAL’ contains 7 different letters. When the vowels OIA are always together, they can be supposed to form one letter. Then, we have to arrange the letters PTCL (OIA). Now, 5 letters can be arranged in 5! = 120 ways. The vowels (OIA) can be arranged among themselves in 3! = 6 ways.

How many ways can the vowels (OIA) be arranged among themselves?

When the vowels OIA are always together, they can be supposed to form one letter. Then, we have to arrange the letters PTCL (OIA). Now, 5 letters can be arranged in 5! = 120 ways. The vowels (OIA) can be arranged among themselves in 3! = 6 ways. Therefore Required number of ways = (120 x 6) = 720.

How many ways can 5 letters be arranged in 5 words?

The word ‘OPTICAL’ contains 7 different letters. When the vowels OIA are always together, they can be supposed to form one letter. Then, we have to arrange the letters PTCL (OIA). Now, 5 letters can be arranged in 5! = 120 ways.

How many vowels are there in the word mathematics?

The word ‘MATHEMATICS’ has 11 letters. It has the vowels ‘A’,’E’,’A’,’I’ in it and these 4 vowels must always come together. Hence these 4 vowels can be grouped and considered as a single letter.