Permutations And Combinations Question 121
Question: How many words can be formed by taking 3 consonants and 2 vowels out of 5 consonants and 4 vowels
Options:
A) $ ^{5}C_3\times {{}^{4}}C_2 $
B) $ \frac{^{5}C_3\times {{}^{4}}C_2}{5} $
C) $ ^{5}C_3\times {{}^{4}}C_3 $
D) $ {{(}^{5}}C_3\times {{}^{4}}C_2)(5)! $
Correct Answer: D The letters can be selected in $ ^{5}C_3{{\times }^{4}}C_2 $ ways. Therefore the number of arrangements are $ {{(}^{5}C_3{{\times }^{4}}C_2) \times 5!} $ .
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Answer:
Solution:
BETA
