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In how many ways can letters of the word ‘ALGEBRA’ be arranged without changing the order of vowels and consonants?Answer VerifiedHint: Here the given question is based on the concept of permutation. Here we have the word ‘ALGEBRA’ where we are not changing the order of the vowels and consonants. Since it is an arrangement, we use permutation concepts and we determine the solution for the question. Complete step by step solution: Note: Here in this question there is no direct method where we apply to get the solution. So first we find the number of ways the letters are arranged in the word. and then we find the number of ways the letters are arranged in the word such that the two A’s are together. Here we must know the permutation concept and the formula \[n! = n \times n - 1 \times ... \times 2 \times 1\] Question Description Solutions for In how many different ways, the letters of the word ALGEBRA can be arranged in a row if.(i) The two As are together?(ii) The two As are not together?a)(i) 720, (ii) 1800b)(i) 620, (ii) 1600c)(i) 780, (ii) 1860d)(i) 720, (ii) 1600Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free. Here you can find the meaning of In how many different ways, the letters of the word ALGEBRA can be arranged in a row if.(i) The two As are together?(ii) The two As are not together?a)(i) 720, (ii) 1800b)(i) 620, (ii) 1600c)(i) 780, (ii) 1860d)(i) 720, (ii) 1600Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of In how many different ways, the letters of the word ALGEBRA can be arranged in a row if.(i) The two As are together?(ii) The two As are not together?a)(i) 720, (ii) 1800b)(i) 620, (ii) 1600c)(i) 780, (ii) 1860d)(i) 720, (ii) 1600Correct answer is option 'A'. Can you explain this answer?, a detailed solution for In how many different ways, the letters of the word ALGEBRA can be arranged in a row if.(i) The two As are together?(ii) The two As are not together?a)(i) 720, (ii) 1800b)(i) 620, (ii) 1600c)(i) 780, (ii) 1860d)(i) 720, (ii) 1600Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of In how many different ways, the letters of the word ALGEBRA can be arranged in a row if.(i) The two As are together?(ii) The two As are not together?a)(i) 720, (ii) 1800b)(i) 620, (ii) 1600c)(i) 780, (ii) 1860d)(i) 720, (ii) 1600Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice In how many different ways, the letters of the word ALGEBRA can be arranged in a row if.(i) The two As are together?(ii) The two As are not together?a)(i) 720, (ii) 1800b)(i) 620, (ii) 1600c)(i) 780, (ii) 1860d)(i) 720, (ii) 1600Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice JEE tests. How many different ways can the letters of the word ALGEBRA be arranged in factorial form?=3×24=72.
How many unique permutations are in the word ALGEBRA?The way I think of a solution is: total number of permutations of the word ALGEBRA (accounting for the two As) - the total number of permutations of the word ALGEBRA where the two As do occur together. The answer stood out to be 1800.
How do you figure out how many ways letters can be arranged?Formula Used:
(n−r)! , where n is the total number of letters and r represents the number of letters to be arranged. 2.
How many possible permutations are there in the letters of the word mathematics?Mathematic can be arranged in 453,600 different ways if it is ten letters and only use each letter once. Assuming all vowels will be together 15,120 arrangements.
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