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## Here's the Solution to this Question

$\text {Let }\newline X_1=\{0xxxx0\}\newline X_2=\{0xxxx1\}\newline X_3=\{1xxxx0\}\newline X_4=\{1xxxx1\}\text{ corresponding to string set types}$

$X=\{xxxxxx\}\text{ set bit strings of length 6}$

$\text{where }x\isin\{0,1\}$

$X_1\cup{X_2}\cup{X_3}\cup{X_4}=X$

$X_i\cap{X_j}=\emptyset\text{ if }i\not=j\text{ and }i,j\isin\{1,2,3,4\}$

$\text{That is, any element from the set }X\text{ is an element of one and only one of the sets }X_i$

$\text{where } i\isin\{1,2,3,4\}$

$\text{For an unambiguous selection of 6 elements of the same type, you must choose}$

$4*5+1=21\text{ elements}$

$\text {Let }\newline X_1=\{0xxxx0\}\newline X_2=\{0xxxx1\}\newline X_3=\{1xxxx0\}\newline X_4=\{1xxxx1\}\text{ corresponding to string set types}$

$X=\{xxxxxx\}\text{ set bit strings of length 6}$

$\text{where }x\isin\{0,1\}$

$X_1\cup{X_2}\cup{X_3}\cup{X_4}=X$

$X_i\cap{X_j}=\emptyset\text{ if }i\not=j\text{ and }i,j\isin\{1,2,3,4\}$

$\text{That is, any element from the set }X\text{ is an element of one and only one of the sets }X_i$

$\text{where } i\isin\{1,2,3,4\}$

$\text{For an unambiguous selection of 6 elements of the same type, you must choose}$

$4*5+1=21\text{ elements}$