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katiebugg

Using the letters of the word YOUNG, tell how many different 5-letter combinations are possible if: the first letter must be Y the vowels and consonants alternate, beginning with a consonant (Y is a consonant here and Y does not have to be first).

  • one year ago
  • one year ago

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  1. dasDaName
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    i think 80, but could be wrong this time. since i have no clue what the vocabs mean in the third sentance

    • one year ago
  2. ganeshie8
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    two questions here. lets answer one question at a time

    • one year ago
  3. katiebugg
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    k

    • one year ago
  4. ganeshie8
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    1) the first letter must be Y you fix the first space as Y. remaining 4 spaces can be filled in 4*3*2*1 ways = 4!

    • one year ago
  5. ganeshie8
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    2) must begin with consonant. and vowels and consonants alternate (vowels, consonants must not be together)

    • one year ago
  6. ganeshie8
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    3 consonants , 2 vowels you can choose first letter from 3 consonants in : 3 ways after that, you can choose second letter from 2 VOWELS in : 2 ways after that, you can choose third letter from remaining 2 consonants in : 2 ways after that, you can choose fourth letter from remaining 1 VOWELS in : 1 ways finally, you can choose third letter from remaining 1 consonants in : 1 ways so total possible ways = 3*2*2*1*1 = 12

    • one year ago
  7. katiebugg
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    so the answeres r 4 and 12

    • one year ago
  8. ganeshie8
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    for first question, its 4! its not 4

    • one year ago
  9. ganeshie8
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    did u understand how we worked it ?

    • one year ago
  10. katiebugg
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    yess

    • one year ago
  11. ganeshie8
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    good to hear that :P

    • one year ago
  12. katiebugg
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    lol

    • one year ago
  13. ganeshie8
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    tag me if u have more problems of this kind :)

    • one year ago
  14. katiebugg
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    lol ok thanks!

    • one year ago
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