In how many ways can a consonant and a vowel be selected out of the letters of the word 'WHEAT'? |
A) \[3!\,\,+2!\]
B) \[3!\,\,2!\]
C) \[3\times 2\]
D) \[{{3}^{2}}\]
Correct Answer: C
Solution :
Number of consonants \[=3\] |
Required number of ways for selecting one consonant \[={}^{3}{{C}_{1}}\] |
Number of vowels \[=2\] |
Required number of ways for selecting one vowel \[={}^{2}{{C}_{1}}\] |
\[\therefore \]Required number of ways \[={}^{3}{{C}_{1}}\times {}^{2}{{C}_{1}}=3\times 2\] |
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