Question

This Question: 1 pt 9 of 20 (1 complete) If a given set has 23 elements, how many of its subsets have at most four elements? There are subsets that have at most four elements Enter your answer in the answer box + Type here to search D o 2

Answer 1

The given set has n=23 elements. To find : Number of pubsets having at most Helements. * Atmost Helements = Exactly It Exactly 2+ Exactly 3 +exactly 4 + Exactly o elements # Formula for number of suberts having exactly m elemenk from a set of nelements in given by nen! Cm : n-mim! wip Exactly 0 2360 = 1 +B) chi Enactly n=n(nt) ----2-7 23 C = 23 : suboets .. citus exactly 2 7 28 = 23! = 28x28x24 = 253 ouboets 23-2)!21 z xo s civ Escactly 3 % solg = 23 2 3x3 tur sot s 'ouboets. Alle in Exactly 3 20163! 20tx x 201 x = 8855 nets - Exeactly M = 23C = 23! = 23x10x x 0x14 -20 8855 791414 Tafseyfi 842 guboek most Y ouboets = 1+23+253 +1771+8855 = 109037 Cscanake with CamScanner.