How many ways can the letters of the word CORPORATION be arranged so that vowels always come together?
Answer: Option C Show
Explanation: The word 'CORPORATION' has 11 letters. It has the vowels 'O','O','A','I','O' in it and these 5 vowels should always come together. Hence these 5 vowels can be grouped and considered as a single letter. that is, CRPRTN(OOAIO). Hence we can assume total letters as 7. But in these 7 letters, 'R' occurs 2 times and rest of the letters are different. Number of ways to arrange these
letters In the 5 vowels (OOAIO), 'O' occurs 3 and rest of the vowels are different. Number of ways to arrange these vowels among themselves $=\dfrac{5!}{3!}=\dfrac{5×4×3×2×1}{3×2×1}=20$ Hence, required number of ways Add Your Comment(use Q&A for new questions) Name Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses No worries! We‘ve got your back. Try BYJU‘S free classes today! No worries! We‘ve got your back. Try BYJU‘S free classes today! No worries! We‘ve got your back. Try BYJU‘S free classes today! Solution The correct option is A 50400In the word 'CORPORATION', we’ll treat the vowels OOAIO as a single 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 of arranging these letters =7!2!!=2520 Now, 5 vowels in which O occurs 3 times and the rest are different, can be arranged In 5!3!=20 ways Therefore, Required number of ways =(2520×20)=50400In how many different ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together?A. 810 B. 1440 C. 2880 D. 50400 E. 5760 Answer: Option D Solution(By Examveda Team) In the word 'CORPORATION', we treat the vowels OOAIO as one letter. Question Detail
Answer: Option B Explanation: Vowels in the word "CORPORATION" are O,O,A,I,O This has 7 lettes, where R is twice so value = 7!/2! Vowel O is 3 times, so vowels can be arranged = 5!/3! = 20 Total number of words = 2520 * 20 = 50400 Similar Questions : 1. A box contains 4 red, 3 white and 2 blue balls. Three balls are drawn at random. Find out the number of ways of selecting the balls of different colours
Answer: Option B Explanation: This question seems to be a bit typical, isn't, but it is simplest. Total number of ways Please note that we have multiplied the combination results, we use to add when
their is OR condition, and we use to multiply when there is AND condition, In this question it is AND as 2. Evaluate permutation equation \begin{aligned} ^{59}{P}_3 \end{aligned}
Answer: Option C Explanation: \begin{aligned} 3. In how many words can be formed by using all letters of the word BHOPAL
Answer: Option D Explanation: Required number 4. Evaluate permutation equation \begin{aligned} ^{75}{P}_2\end{aligned}
Answer: Option D Explanation: \begin{aligned} \end{aligned} 5. How many words can be formed by using all letters of TIHAR
Answer: Option B Explanation: First thing to understand in this question is that it is a permutation question. Read more from - Permutation and Combination Questions Answers
How many ways can the letters of the word CORPORATION be arranged so that vowels always occupy even places?60 ways. Originally Answered: In how many ways can the letters of word “corporation” be arranged so that each vowel occupies even places? It is an 11 lettered word with 5 vowels (3 o's and 1 a & 1 i) and 6 consonants. Moreover, there are 5 even places and 6 odd places.
How many words can be formed from the word CORPORATION?There are in all 11 letters in the word `CORPORATION`. Since, Repetition is not allowed, there are 8 different letters that can be used to form 3-letter word. Therefore, total number of words that can be formed = 8P3 = (8 × 7 × 6) = 336.
How many ways can the letters of the word Mussoorie be arranged so that the vowels always come together?The number of ways to arrange these vowels = 3! ∴ The required number of ways is 15120.
How many ways can the letters of the word Missouri be arranged so that all vowels do not occur together?=360 the number of ways.
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