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katiebugg

  • 3 years ago

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).

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  1. dasDaName
    • 3 years ago
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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

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

  3. katiebugg
    • 3 years ago
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    k

  4. ganeshie8
    • 3 years ago
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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!

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

  6. ganeshie8
    • 3 years ago
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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

  7. katiebugg
    • 3 years ago
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    so the answeres r 4 and 12

  8. ganeshie8
    • 3 years ago
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    for first question, its 4! its not 4

  9. ganeshie8
    • 3 years ago
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    did u understand how we worked it ?

  10. katiebugg
    • 3 years ago
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    yess

  11. ganeshie8
    • 3 years ago
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    good to hear that :P

  12. katiebugg
    • 3 years ago
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    lol

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

  14. katiebugg
    • 3 years ago
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    lol ok thanks!

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