Total number of words formed by 3 vowels and 3 consonants taken from 4 vowels and 5 consonants
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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 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: the question is that total number of words formed by 3 vowels and 3 consonants taken from five vowels and consonants is equal to that we need to find out so number of ways for consonant using is equal to total number is 5 and we have to choose three it will be 5C 3 night will be equal to 5 factorial by 3 factorial in 25 - 3 factorial because we are using the formula NCR is equal to an ethereal by architect tutorial in 2 and minus are real this will be equal to 5 into 4 into 3 factorial by 3 factorial into two factorial 3 and we are left with 5 into 4 by 2 is equal to 10 on the same pattern number of ways of mobile is equal to 5 total out of that we have to choose three so it will again be 10 and number of ways the words the a is equal to number of 3 + number of consonant 3 and factorial of that so it will be equal to 6 factorial which is equal to 720 from this we can find therefore total number of ways is equal to 10 into 10 into 720 which is equal to 70 therefore we can write our answer as answer is option number 3 which is 72000 I hope you to destination thank you How many words are formed by two vowels and 3 consonants taken from 4 vowels and 5 consonants?=60×120=7200.
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 of 3 consonants and 3 vowels can be formed from 8 consonants and 4 vowels?∴ The required result will be 40320.
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.
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