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Problem Solving-again?


Can you explain to me how to solve one or both of these please?

-The first digit of a seven-digit telephone number can never be 0. How many telephone numbers exist such that each digit is greater than the digit to its left? For example, 124-5689 is one such number.

-According to Augustine's Fifth Law, one-tenth of a committee's members produce one-third of the output, and the other members produce the rest. ON average, what fraction of the output does each member of the other 90% produce if there are 20 members on the committee? Express your answer as a common fraction.

Thanks in advance!

2.)
1 - 1/3 = 2/3 of the output is produced by the other 90% of the committee. 90% of 20 = 18. So the output per member of the other 90% or 9/10's of the committee is given by this equation:

(2/3) / 18 = 2/54 = 1/27

That works out to about 3.70% per member, or about four and a half times less than the other 10% of the committee, whose output is 16.67% each for this particular committee of 20 people.

To verify, multiply 1/27 by 18 and add 1/3 to it. The answer should be 1:

(1/27) 鈭?18 + 1/3 = 18/27 + 1/3 = 2/3 + 1/3 = 1

So our answer (1/27) is correct.

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