Math
posted by Penelope .
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 int he committee?
d. two particular scientists must not be int he committee?

a) number of (2math, 3 science() = C(4,2) x C(6,3) =120
b) one specific scientist must be in, so need 2 other scientist
= C(4,2) x C(6,2) = 90
c) 2 specific math guys must be in, but we need only 2 maths, so only need the 3 science
= C(6,3) = 20
d) 2 specific science guys are out, so need 3 from remaining 4 science guys
= C(4,2) x C(4,3) = 24
Respond to this Question
Similar Questions

Maths
I need to solve these anagrams of famous mathematitions PHRYGATOAS ADSHERECMI TFMARE GABBEBA COBFIICAN GHETGNINLAI LUDECI PRANIE LLCAOVEE The first one is PYTHAGORAS. For names of other famous mathematicians, check this site: http://yahooligans.yahoo.com/School_Bell/Math/Mathematicians/ … 
Accelerated Math
A committee is to consist of three members. If there are six men and four women available to serve on the committee, how many different committees can be formed? 
proofread letter
Can you proofread my letter? Thanks! December 7, 2007 Dear President of the Math Company, I am pleased to inform you that a company that has 11 mathematicians on its staff and 2 or fewer women is possible. In fact, based on my stimulation, 
Math
Given 5 members, 5 scientists and 9 mathematicians. How many committees can be formed if ..... a. all are scientists? 
English
1. Choose two of the scientists you read about in the Stories of Scientists unit. Compare and contrast these scientists. Answer this question in no fewer than two paragraphs. Be sure to include specific details about each scientistâ€™s … 
English
Score 1. Choose two of the scientists you read about in the Stories of Scientists unit. Compare and contrast these scientists. Answer this question in no fewer than two paragraphs. Be sure to include specific details about each scientistâ€™s … 
science
Scientists earlier believed that the lowest measurable temperature is the freezing point of ice. However, modern scientists believe that temperatures below the freezing point of ice can also exist. What best accounts for these different … 
math's, combination
A group of 25 lecturers includes six mathematicians. in how many ways can a committee of 4 be selected from this group to include at least one mathematician? 
Math
A committee of 5 people is to be formed from a group of 7 women and 4 men. How many possible committees can be formed if: the committee then must chose a president and a vice president, how many ways could these two positions be chosen? 
english
(b) Choose two of the scientists you read about in the Stories of Scientists unit. Compare and contrast these scientists. Answer this question in no fewer than two paragraphs. Be sure to include specific details about each scientistâ€™s …