$\begingroup$ Show
Total no. of words formed by 2 vowels and 3 consonants taken from 4 vowels and 5 consonants is equal to ? Ans. could be 1)60 2)120 3)7200 4)none I solved it like as these 2 events don't relate to each other hence calculate them separately. So 4C2 x 3C5 = 60 . Is it right? asked Jan 22, 2014 at 17:57
$\endgroup$ 2 $\begingroup$ Choose the consonants: ${5 \choose 3} = 10$. Choose the vowels: ${4 \choose 2} = 6$. Choose what order they appear in: $5! = 120$. That gives $7200$. answered Jan 22, 2014 at 18:02
JohnJohn 25.7k3 gold badges35 silver badges59 bronze badges $\endgroup$ 4 How many words are formed by 2 vowels and 3 consonants, taken from 4 vowels and 5 consonants? How many words are formed by 2 vowels and 3 consonants, taken from 4 vowels and 5 consonants? Answer : 3 consonants out of 5 consonants can be chosen in 5C3 ways. 2 vowels out of 4 vowels can be chosen in 4C2 ways. And also 5 letters can be written in 5! Ways. Therefore, the number of words can be formed is (5C3 X4C2 X 5!) = 7200. Total number of words formed by 2 vowels and 3 consonants taken from 4 vowels and 5 consonants is equal to
7200 $\begingroup$ Nội dung chính
Total no. of words formed by 2 vowels and 3 consonants taken from 4 vowels and 5 consonants is equal to ? Ans. could be 1)60 2)120 3)7200 4)none I solved it like as these 2 events don't relate to each other hence calculate them separately. So 4C2 x 3C5 = 60 . Is it right? asked Jan 22, 2014 at 17:57 $\endgroup$ 2 $\begingroup$ Choose the consonants: ${5 \choose 3} = 10$. Choose the vowels: ${4 \choose 2} = 6$. Choose what order they appear in: $5! = 120$. That gives $7200$. answered Jan 22, 2014 at 18:02 JohnJohn 25.7k3 gold badges35 silver badges59 bronze badges $\endgroup$ 4 Total number of words formed by 2 vowels and 3 consonants taken from 4 vowels and 5 consonants is equal to 7200. Explanation: Given that total numbers of vowels = 4 And total numbers of consonants = 5 Total number of words formed by 2 vowels and 3 consonants = 4C2 × 5C3 = `(4!)/(2!2!) xx (5!)/(3!2!)` = `(4 xx 3 xx 2!)/(2 xx 1 xx 2!) xx (5 xx 4 xx 3!)/(3! xx 2)` = 6 × 10 = 60 Now permutation of 2 vowels and 3 consonants = 5! = 5 × 4 × 3 × 2 × 1 = 120 So, the total number of words = 60 × 120 = 7200. Total number of words formed by 2 vowels and 3 consonants taken from 4 vowels and 5 consonants is equal to
7200 Total no. of words formed by using 2 vowels and 3 consonants taken from 4 vowels and 5 constants in equal to:A. 60B. 120C. 720D. None of theseAnswer Verified Hint: This problem deals with permutations and combinations. But here a simple concept is used. Although this problem deals with combinations only. Here factorial of any
number is the product of that number and all the numbers less than that number till 1. Complete step-by-step answer: Final Answer: Total no. of words formed by using 2 vowels and 3 consonants taken from 4 vowels and 5 constants in equal to 7200. Note: How many words of 3 consonants and 2 vowels can be formed?Number of groups, each having 3 consonants and 2 vowels = 210. Each group consist of 5 letters. How many words of 3 consonants and 2 vowels can be formed out of 5 consonants and 3 vowels?Number of groups, each having 3 consonants and 2 vowels = 210. Each group contains 5 letters. = 5! = 120. How many words can be formed each of 2 vowels and 3 consonants from the letters of the given word mathematics?Therefore, 30 words can be formed from the letters of the word DAUGHTER each containing 2 vowels and 3 consonants. Note: A Permutation is arranging the objects in order. How many words can be formed by 3 vowels and 6 consonants taken from 5 vowels and 10 consonant?= 5! = 120. Required number of ways = (210 x 120) = 25200. How many words of 3 consonants and 2 vowels can be formed out of 5 consonants and 3 vowels?Number of groups, each having 3 consonants and 2 vowels = 210. Each group contains 5 letters. = 5! = 120.
How many words can be formed by 3 vowels and 6 consonants taken from 5 vowels and 10 consonants?How many words of 3 vowels and 6 consonants can be formed taken from 5 vowels and 10 consonants? Total no. of words = 5C3 × 10C6 × 9! = 10 × 210 × 9!
How many words can be formed using 2 vowels and 2 consonants chosen from 4 vowels and 5 consonants?∴ The total number of ways is 1440.
How many words of 3 consonants and 2 vowels can be formed out of 7 consonants and 4 vowels?Out of 7 consonants and 4 vowels, the number of words (not necessarily meaningful) that can be made, each consisting of 3 consonants and 2 vowels, is equal to? = 210.
|