How many ways are there to select a vowel and consonant from the word extinction
Simplify problem.
3 consonants BCD. Show Choose 2 consonants, no repetition. Form different words from the chosen consonants and vowels. Choose 2 consonants, 3 ways - BC, BD, CD. Different groups with 2 consonants and 2 vowels, 3x3 = 9. BCAE, BCAI, BCEI, BDAI, BDAI, BDEI, CDAE, CDAI, CDEI. Different words from 4 character set such as BCAE, 4! = 4x3x2x1 = 24. BCAE, BCEA, BACE, BAEC, BECA, BEAC. Total 4 character words from 2 different consonants and 2 different vowels would be 9x24 = 216. Apply to above. 7C3 x 4C2 x 5! = 25200. More difficult would be when repetitions are allowed in consonants and vowels. Formula used: Complete step by step answer: Hence, the number of ways to choose vowels and consonants is \[{\text{4}}\]. Note: How many ways are there to select a vowel and consonant from extinction?Well, there are actually an infinite number of ways of doing this.
How many ways the consonant and vowel?Note- In English alphabet set we have in total 27 alphabets which can broadly be classified into two categories that are vowels and consonants. (A, E, I, O, U) are the vowels while rest are marked as consonants.
How many ways are there to classify vowels?All vowels can be divided into two main categories: diphthongs and monophthongs.
How many outcomes are there for choosing a vowel?Number of ways to choose one vowel: C(5,1) = 5 ways. There are 6 possible positions to place the chosen vowel.
|