Math grd12

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How many arrangements of five letters from the word 'certain' contain the letter 't'? Explain your reasoning.

  • Math grd12 -

    All possible cases = 7x6x5x4x3 = 2520
    cases without the t = 6x5x4x3x2 = 720

    so cases that contain the t = 2520 - 720 = 1800

    OR

    One spot taken by the t, leaves 4 others to fill
    = 6x5x4x3 = 360

    but the t could be in 5 different places
    so total number with a t = 5x360 = 1800

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