Problem 1015

Find the cardinal number for the following set A.

{x | x is a letter in the words isogram}

 

Solution:-

 

The number of distinct, or different, element in set  A is called the cardinal number of set A and is denoted n(A).

The elements of set A are letters that are in the word isograms.

Note that there are no repeated letters in the word isograms. Each letter is used exactly once. Therefore, the set A is equal A = {I, s, o, g, r, a, m}. If the letters were listed in alphabetical order, A = {a, g, I, m, o, r, s}. The order does not matter.

Count the number of element in set A to determine n(A).

n(A) = 7

Thus, the cardinal number of set A is 7.

 

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