diketahui P = {3, 6, 9, 12, 15} semua himpunan bagian dari P Yang memiliki 2 anggota adalah

<p>Jawaban yang tepat adalah 10</p><p>&nbsp;</p><p>Pembahasan :</p><p>P = {3, 6, 9, 12, 15}</p><p>n(P) = 5</p><p>Banyaknya himpunan bagian = 2^n(P) = 2⁵ = 32</p><p>&nbsp;</p><p>Untuk mencari banyaknya himpunan bagian kita gunakan segitiga Pascal</p><p>&nbsp;</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 1 &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; --&gt; n = 0</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;1 &nbsp; &nbsp; &nbsp;1 &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;--&gt; n = 1</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;1 &nbsp; &nbsp; 2 &nbsp; &nbsp; 1 &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; --&gt; &nbsp;n = 2</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;1 &nbsp; &nbsp;3 &nbsp; &nbsp; 3 &nbsp; &nbsp;1 &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;--&gt; n = 3</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 1 &nbsp; &nbsp;4 &nbsp; &nbsp; 6 &nbsp; &nbsp; &nbsp;4 &nbsp; &nbsp;1 &nbsp; &nbsp; &nbsp; --&gt; n = 4</p><p>&nbsp; &nbsp; &nbsp;&nbsp;<strong> &nbsp; 1 &nbsp; &nbsp;5 &nbsp; 10 &nbsp; 10 &nbsp; &nbsp;5 &nbsp; &nbsp; 1</strong> --&gt; n = 5</p><p>Pada n = 5, angkanya adalah 1, 5, 10, 10, 5, 1</p><ul><li>Himpunan kosong {} = 1</li><li>Himpunan beranggotakan 1 = 5</li><li>Himpunan beranggotakan 2 = 10</li><li>Himpunan beranggotakan 3 = 10</li><li>Himpunan beranggotakan 4 = 5</li><li>Himpunan beranggotakan 5 = 1</li></ul><p>&nbsp;</p><p>Rincian himpunan yang mempunyai 2 anggota ada 10 yaitu</p><p>{3,6}, {3,9}, {3,12}, {3,15}, {6,9}, {6,12}, {6,15}, {9,12}, {9,15}, {12,15}</p>