Table of Contents
- 1 How many arrangements of five letters are possible using three consonants and two vowels from the word Regional?
- 2 How many arrangements can be made from the letters of the word independence so that the vowels always come together?
- 3 How many 4 letter words can be formed by using the letters of the word ineffective?
- 4 How do I find the number of arrangements?
- 5 How many ways to arrange letters of a word?
How many arrangements of five letters are possible using three consonants and two vowels from the word Regional?
= 210. Number of groups, each having 3 consonants and 2 vowels = 210. Each group contains 5 letters. = 5!…Discussion :: Permutation and Combination – General Questions (Q. No. 4)
| [A]. | 210 |
|---|---|
| [B]. | 1050 |
| [C]. | 25200 |
| [D]. | 21400 |
| [E]. | None of these |
How many words can be formed out of 5 different consonants and 4 different 4 different vowels if each word is to contain 3 consonants and 2 vowels?
7200. Hint: The number of ways a word can form from $5$ consonants by using $3$ consonants $ = $ ${}^5{C_3}$ and from $4$ vowels by using $2$ vowels $ = $${}^4{C_2}$, hence the number of words can be $ = {}^5{C_3} \times {}^4{C_2} \times {}^5{P_5}$. Use this to find the no.
How many 5 letter words contain 3 vowels and 2 consonants?
Number of different words formed by these 5 letters is 5! So the answer is C(5, 3)×C(3, 2)×5!
How many arrangements can be made from the letters of the word independence so that the vowels always come together?
total arrangements = 12!
How many words with or with out meaning each of 3 vowels and 2 consonants can be formed from the letters of word equation?
Number of words that can be formed by 3 vowels and 2 consonants = Total number of arrangements of letters × Number of ways the letters can be selected. Hence 3600 words can be formed each of 3 vowels and 2 consonants.
How many 4 letter words can be formed by using the letters of the word hard work?
1020 four-letter words
Therefore, 1020 four-letter words can be formed using the letters of the word “HARD WORK”.
How many 4 letter words can be formed by using the letters of the word ineffective?
1422 different four letter words
Prove that only 1422 different four letter words can be formed out of the letters of the word INEFFECTIVE. Hint: We can observe that the word INEFFECTIVE has 4 different letters, namely N, C, T and V, i.e. 3 E, 2 I and 2 F. So we will take 4 different cases to form a four letter word from these letters.
How many words are in a vowel?
20 words can be made from the letters in the word vowel.
How do I find the arrangement of a letter?
Complete step-by-step answer: Therefore, we will use Permutations to ‘arrange’ the 6 letters of the given word. Thus, the formula is nPr=n! (n−r)! Where, n is the total number of letters and r represents the number of letters to be arranged, i.e. 6 in each case.
How do I find the number of arrangements?
The third space can be filled by any of the 2 remaining letters and the final space must be filled by the one remaining letter. The total number of possible arrangements is therefore 4 × 3 × 2 × 1 = 4!
How many different words with or without meaning can be made using all the vowels at a time so that the word does not begin with a?
There are 5 vowels in 26 alphabets. Hence, using all 5 vowels at a time, number of different words (with or without meaning) can be made are = 5!
How many arrangements can you make with 7 letters?
First, we can ask ourselves “How many arrangements can we make with 7 things (letters in this case)” The answer is 7! (We can choose 7 in the first slot, 6 in the next, etc) However, we must also take into account the repetition of some letters in the word STREETS. We can do this by dividing the repetition.
How many ways to arrange letters of a word?
Number of Ways to Arrance ‘n’ Letters of a Word ‘n’ Letters Words Ways to Arrange 7 Letters Word 5,040 Distinct Ways 8 Letters Word 40,320 Distinct Ways 9 Letters Word 362,880 Distinct Ways 10 Letters Word 3,628,800 Distinct Ways
How many different ways can the word “student” be arranged?
Let’s starts the Question Answer session. In how many different ways can the letters of the word “STUDENT” be arranged? STUDENT = 7! = 5040. In how many different ways can the letters of the word “APPLE” be arranged? APPLE = 5!
How many different ways can the word “apple” be arranged?
APPLE = 5! = 120. In how many different ways can the letters of the word “LEARNER” be arranged? LEARNER = 7! = 5040. In how many different ways can the letters of the word “DANGER” be arranged? DANGER = 6! = 720. In how many different ways can the letters of the word “LAPTOP” be arranged? LAPTOP = 6! = 720.