Matematika

Pertanyaan

4.tentukan semua himpunan bagian dari k={p,q,r,s,t}
a.dua anggota
b. tiga anggota
c. empat anggota
5.tentukan semua himpunan bagian dari Y={bilangan prima lebih dari 6 dan kurang dari 25}yang memiliki
a. dua anggota
b. tiga anggota
c. empat anggota

1 Jawaban

  • 4.
    segitiga Pascal
    .................... 1
    ................. 1 ... 1
    ............... 1 .. 2 .. 1
    ............ 1 .. 3 .. 3 .. 1
    ......... 1 .. 4 .. 6 .. 4 .. 1
    ...... 1 .. 5 . 10 . 10 ..5 .. 1
    1 = 0 anggota
    5 = 1 anggota
    10 = 2 anggota
    10 = 3 anggota
    5 = 4 anggota
    1 = 5 anggota
    a) 2 anggota ada 10 = {p, q}, {p, r}, {p, s}, {p, t}, {q, r}, {q, s}, {q, t}, {r, s}, {r, t}, {s, t}

    b) 3 anggota ada 10 = {p, q, r}, {p, q, s}, {p, q, t}, {p, r, s}, {p, r, t}, {p, s, t}, {q, r, s}, {q, r, t}, {q, s, t}, {r, s, t}

    c) 4 anggota ada 5 = {p, q, r, s}, {p, q, r, t},
    {p, q, s, t}, {p, r, s, t}, {q, r, s, t}
     5.
    Y = {7, 11, 13, 17, 19, 23}

    a) = {{7, 11}, {7,13}, {7,17}, {7, 19}, {7,23}, {11,13}, {11, 17}, {11, 19}, {11, 23}, {13, 17}, {13, 19}, {13, 23}, {17, 19}, {17, 23}, {19, 23}}

    b) = {{7, 11, 13}, {7, 11, 17}, {7, 11, 19}, {7, 11, 23}, {7, 13, 17}, {7,13, 19}, {7, 13, 23}, {7, 17, 19}, {7, 17, 23}, {7, 19, 23}, {11, 13, 17}, {11, 13, 19}, {11, 13, 23}, {11, 17, 19,}, {11, 17, 23}, {11, 19, 23}, {13, 17, 19}, {13, 17, 23}, {13, 19, 23}, {17, 19, 23}}

    c) = {{7, 11, 13, 17}, {7, 11, 13, 19,}, {7, 11, 13, 23}, {7, 11, 17, 19}, {7, 11, 17, 23}, {7, 11, 19, 23}, {7, 17, 19, 23}, {7, 13, 17, 19}, {7, 13, 17, 23}, {7, 17, 19, 23}, {11, 13, 17, 19}, {11, 13, 17, 23}, {11, 13, 19, 23}, {11, 17, 19, 23}, {13, 17, 19, 23}}


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