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janayshas84
16.09.2019 •
Mathematics
Q1 how many subsets of a set with 100 elements have morethan one element ?
q2 how many strings of four decimal digits
a) do not cantain the same digit twice?
b) end with even digit ?
c) have exactly three digits that are 9s ?
Solved
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Ответ:
Q2a. Assuming not containing the same digits twice also includes not numbers with three or four of the same digit, and assuming digits are chosen from the usual 0-9, there are
possible strings.
Q2b. The first three digits can be chosen freely from 0-9, while the last digit has to be one of 0, 2, 4, 6, or 8. This means you have
possible strings
Q2c. Any such string will take the form
possible strings.
Ответ: