PROJECT 2-COUNTING SUBSETS (BINARY STRINGS Choose 6 letters of the English alphabet including all the different characters in your family name (If you have more than & diffecent characters, ch...
PROJECT 2-COUNTING SUBSETS (BINARY STRINGS Choose 6 letters of the English alphabet including all the different characters in your family name (If you have more than & diffecent characters, choose the first 61. Let X be the set di all lower case vensions of the letters you have chosen. Let S be the set of all binary strings of length 6 (0 Using cofrect set notation, list the elements in set X. (u) ust all the subsets of X with 1 letter. How many such subsets are there? Let X, be the colledion o' ll hese subiets [üi) uist all binary strings of length 6 that include one 1 and five CHow many such strings are there? Let S, be the set of all liv) Construct a bjective Anction f: x, → s, that demonstrates 'naturr relationship between X, rd s, . Generalise your function f to a function F:P(x) → s n such a way that F is also a biectea (v) l ?That s, how many binary strings of length 6 are there? Use your answer together with your function F to esxplan the Vale of P(x)l
PROJECT 2-COUNTING SUBSETS (BINARY STRINGS Choose 6 letters of the English alphabet including all the different characters in your family name (If you have more than & diffecent characters, choose the first 61. Let X be the set di all lower case vensions of the letters you have chosen. Let S be the set of all binary strings of length 6 (0 Using cofrect set notation, list the elements in set X. (u) ust all the subsets of X with 1 letter. How many such subsets are there? Let X, be the colledion o' ll hese subiets [üi) uist all binary strings of length 6 that include one 1 and five CHow many such strings are there? Let S, be the set of all liv) Construct a bjective Anction f: x, → s, that demonstrates 'naturr relationship between X, rd s, . Generalise your function f to a function F:P(x) → s n such a way that F is also a biectea (v) l ?That s, how many binary strings of length 6 are there? Use your answer together with your function F to esxplan the Vale of P(x)l