how many 5 letter word containing 3 vowels and 2 consonants can be formed using the letters of word ' EQUATION' so that the two consonant occur together ?
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vovels are a,e,i,o,u
consonants q,t,n
consonants q,t,n
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Answer:
for selecting 3 vowela u have choice is 5 so 5c3
for selecting 2 consonants for the word u have choice 3 consonants 3c2
Answer = 5c3 × 3c2
= 5×4×3/3×2×1 × 3×2/2×1
= 10 × 3
= 30
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