Adım adım açıklama:
Bu kümenin eleman sayısı n" role="presentation" style="box-sizing: border-box; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 18px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;">nn olsun. O zaman en az iki elemanlı alt kümelerinin sayısı :C(n,2)+C(n,3)+...+C(n,n)" role="presentation" style="box-sizing: border-box; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 18px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;">C(n,2)+C(n,3)+...+C(n,n)C(n,2)+C(n,3)+...+C(n,n) dir. Yani C(n,2)+C(n,3)+...+C(n,n)=57" role="presentation" style="box-sizing: border-box; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 18px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;">C(n,2)+C(n,3)+...+C(n,n)=57C(n,2)+C(n,3)+...+C(n,n)=57 dir. Öte yandan tüm alt kümelerinin sayısı:C(n,0)+C(n,1)+C(n,2)+C(n,3)+...+C(n,n)=2n" role="presentation" style="box-sizing: border-box; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 18px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;">C(n,0)+C(n,1)+C(n,2)+C(n,3)+...+C(n,n)=2nC(n,0)+C(n,1)+C(n,2)+C(n,3)+...+C(n,n)=2n olduğundan, C(n,0)+C(n,1)+57=2n⇒1+n+57=2n⇒n=6" role="presentation" style="box-sizing: border-box; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 18px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;">C(n,0)+C(n,1)+57=2n⇒1+n+57=2n⇒n=6C(n,0)+C(n,1)+57=2n⇒1+n+57=2n⇒n=6 olmalıdır. Bizden en çok 5" role="presentation" style="box-sizing: border-box; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 18px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;">55 elemanlı alt küme sayısı istenmiştir. Yani C(6,0)+C(6,1)+C(6,2)+...+C(6,5)=istenen" role="presentation" style="box-sizing: border-box; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 18px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;">C(6,0)+C(6,1)+C(6,2)+...+C(6,5)=istenenC(6,0)+C(6,1)+C(6,2)+...+C(6,5)=istenen dir.
C(6,0)+C(6,1)+C(6,2)+...+C(6,5)+C(6,6)=istenen+C(6,6)⇒26−1=63=istenen" role="presentation" style="box-sizing: border-box; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 18px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;">C(6,0)+C(6,1)+C(6,2)+...+C(6,5)+C(6,6)=istenen+C(6,6)⇒26−1=63=istenenC(6,0)+C(6,1)+C(6,2)+...+C(6,5)+C(6,6)=istenen+C(6,6)⇒26−1=63=istenen olur.