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Statisticians and economists committee

From 5 statisticians and 6 economists, a committee consisting of 3 statisticians and 2 economists is to be formed. How many different committees can be formed if:
(a) there are no restrictions
(b) 2 particular statisticians must be on the committee
(c) 1 particular economist cannot be on the committee

Answers:
(a) 150
(b) 45
(c) 100

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Solution Summary

From 5 statisticians and 6 economists, a committee consisting of 3 statisticians and 2 economists is to be formed. How many different committees can be formed if:
(a) there are no restrictions
(b) 2 particular statisticians must be on the committee
(c) 1 particular economist cannot be on the committee

Answers:
(a) 150
(b) 45
(c) 100

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