How many words can be formed …
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Sia ? 6 years, 4 months ago
There are 8 letters in the word DAUGHTER including 3 vowels and 5 consonants. We have to select 2 vowels out of 3 vowels and 3 consonants of 5 consonants.
{tex}\therefore {/tex} Number of ways of selection {tex}{ = ^3}{C_2}{ \times ^5}{C_3} = 3 \times 10 = 30{/tex}
Now each word contains 5 letters which can be arranged among themselves in 5! Ways.
So total number of words {tex} = 5! \times 30 = 120 \times 30 = 3600{/tex}
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