Answer:
Total number of ways will be 1855
Step-by-step explanation:
It id given that business organization needs to make a 6 member fund rising committee.
It is given there are 10 accounting majors and 7 finance majors
So total = 10+7 = 17
It is given that there are at most 2 accounting majors
So there can 0 ,1 and 2 accounting majors
So number ways will be equal to [tex]^{10}C_0\times ^7C_6+^{10}C_1\times ^7C_5+^{10}C_2\times ^7C_4=10\times 7+10\times 21+\times 45\times 35=1855[/tex]
So total number of ways will be 1855
There are 1792 ways the fund-raising committee can be formed if at most 2 accounting majors are on the committee
The given parameters are:
Members to select = 6
Accounting majors = 10
Finance majors = 7
To select at most 2 accounting majors, then the following must be true
(Accounting, Finance) = (0,6) (1,5) (2,4)
So, the number of ways of selecting the committee members is:
[tex]n = ^{10}C_0 * ^{7}C_6 + ^{10}C_1 * ^{7}C_5 + ^{10}C_2 * ^{7}C_4[/tex]
Evaluate the combination expressions
[tex]n = 1 * 7 + 10 * 21 + 45 * 35[/tex]
Evaluate
[tex]n = 1792[/tex]
Hence, there are 1792 ways the fund-raising committee can be formed if at most 2 accounting majors are on the committee
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brainly.com/question/4658834
