SOLUTION: A committee which consists of two mathematicians and three scientists will be formed from four mathematicians and six scientists. How many possible committees can be formed if:
a.
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a.
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Question 550041: A committee which consists of two mathematicians and three scientists will be formed from four mathematicians and six scientists. How many possible committees can be formed if:
a. any of the mathematicians and scientists are included?
b. one particular scientist must be in the committee?
c. two particular mathematicians must be in the committee?
d. two particular scientists must not be in the committee?
You can put this solution on YOUR website! A committee which consists of two mathematicians and three scientists will be formed from four mathematicians and six scientists. How many possible committees can be formed if:
a. any of the mathematicians and scientists are included?
Ans: 4C2*6C3
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b. one particular scientist must be in the committee?
Ans: 1*5C2*4C2
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c. two particular mathematicians must be in the committee?
Ans: 1*1*6C3
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d. two particular scientists must not be in the committee?
ans: 4C2*4C3
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Cheers,
Stan H.
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