Mathematics
A computer allocates jobs to four printers. Given 12 jobs to be distributed so that printer P has 5 jobs, printer Q has 3 jobs, Printer R has 2 jobs and printer S has 2 jobs , find the number of ways that the distribution can be made.
Please help me with this question. Thanks.?
2016-08-01 9:25 am
回答 (1)
2016-08-01 9:35 am
✔ 最佳答案
* Out of the 12 jobs, 5 jobs are distributed to printer P [C(12,5)].* Out of the rest 7 jobs, 3 jobs are distributed to printer Q [C(7,3)].
* Out of the rest 4 jobs, 2 jobs are distributed to printer R [C(4,2)].
* The rest 2 jobs are distributed to printer S [C(2,2)].
Number of ways that distribution can be made
= C(12,5) × C(7,3) × C(4,2) × C(2,2)
= 792 × 35 × 6 × 1
= 166320
收錄日期: 2021-05-01 13:06:11
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