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Question Number 162819 by mnjuly1970 last updated on 01/Jan/22
       #combinatorial mathematics#        In how many  subsets of 10   members of  the set , { 1, 2, ..., 20 }     is there no difference between   two members of    5 ?   a:  2^( 10)       b :  3^( 5)        c :   2^( 8)         d:   10^( 4)
$$ \\ $$$$\:\:\:\:\:#{combinatorial}\:{mathematics}# \\ $$$$\:\:\:\:\:\:\mathrm{I}{n}\:{how}\:{many}\:\:{subsets}\:{of}\:\mathrm{10}\: \\ $$$${members}\:{of}\:\:{the}\:{set}\:,\:\left\{\:\mathrm{1},\:\mathrm{2},\:…,\:\mathrm{20}\:\right\} \\ $$$$\:\:\:{is}\:{there}\:{no}\:{difference}\:{between} \\ $$$$\:{two}\:{members}\:{of}\:\:\:\:\mathrm{5}\:?\: \\ $$$${a}:\:\:\mathrm{2}^{\:\mathrm{10}} \:\:\:\:\:\:{b}\::\:\:\mathrm{3}^{\:\mathrm{5}} \:\:\:\:\:\:\:{c}\::\:\:\:\mathrm{2}^{\:\mathrm{8}} \:\:\:\:\:\:\:\:{d}:\:\:\:\mathrm{10}^{\:\mathrm{4}} \\ $$
Commented by mnjuly1970 last updated on 01/Jan/22
  for example     { 1 , 2 , 3 ,4 ,5 , 16 ,17,18,19,20}
$$\:\:{for}\:{example} \\ $$$$\:\:\:\left\{\:\mathrm{1}\:,\:\mathrm{2}\:,\:\mathrm{3}\:,\mathrm{4}\:,\mathrm{5}\:,\:\mathrm{16}\:,\mathrm{17},\mathrm{18},\mathrm{19},\mathrm{20}\right\} \\ $$

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