SOLUTION: How many ways are there of filling 5 different job vacancies between 7 ladies, given that each woman can only do just one job

Question 1174742: How many ways are there of filling 5 different job vacancies between 7 ladies, given that each woman can only do just one job
Found 2 solutions by ewatrrr, ikleyn:
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

Hi How many ways are there of filling 5 different job vacancies between 7 ladies, given that each woman can only do just one job 7C5 = 21 ways Use Your calculator or nCr = (n!)/(r!(n - r)!). This done with a Casio fx-115 ES (cost< $20) Wish You the Best in your Studies.

Answer by ikleyn(52778)   (Show Source): You can put this solution on YOUR website!
.

Jobs are different and women are different, T H E R E F O R E +-------------------------------------------------------+ | in this problem the order of arranging DOES MATTER. | +-------------------------------------------------------+ THEREFORE, the answer is 7*6*5*4*3 = 2520 ways. It is the product of 5 consecutive integer numbers in descending order starting from 7. First job vacancy can be filled by any of 7 ladies, giving 7 options. Second job vacancy can be filled by any of remaining 6 ladies, giving 6 options . . . and so on to the last, 5-th vacancy inclusive. It gives the formula. All these arrangements are DIFFERENT.

Solved, answered and explained. And completed.

Do not accept any other answer.

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How @ewatrrr interprets, solves and answers this problem, is INCORRECT.

Since the order is IMPORTANT, this problem is on PERMUTATIONS.

It is NOT on COMBINATIONS.

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                It is the MAJOR POINT in the solution of this problem
                        to recognize to which type it does really belong.
        ****************************************************************

@ewatrrr teaches you INCORRECTLY in this major point.

She does it incorrectly EVERY DAY, because she DOES NOT know the subject.

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To see many other similar solved problems, look into the lesson
    - Special type permutations problems
in this site.

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