Anonymous asked in Science & MathematicsMathematics · 1 month ago

5 letters are chosen from the 9 letters of the word SEVENTEEN?

Find the number of possible selections which contains at least 2 Es

1 Answer

  • Pope
    Lv 7
    1 month ago

    The word SEVENTEEN has four Es and five letters that are not E. If we are to have at least two Es, but no more than four, then we must have one, two, or three letters other than E. Those must be chosen from the five available.

    C(5, 1) + C(5, 2) + C(5, 3)

    = 5 + 10 + 10

    = 25

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