Question

3. (5 pts) There are currently 100 freshman mathematics majors at Truman State University. It is known that 80 are enrolled in the Calculus sequence, 30 are enrolled in Foundations of Mathematics, and 40 are enrolled in Physics. There are 35 who are enrolled in both Calculus and Physics, 20 who are enrolled in both Calculus and Foundations, and 5 who are enrolled in both Foundations and Physics. Only 2 badly-advised students are enrolled in all three of Calculus, Foundations and Physics Any freshman mathematics major who is not enrolled in at least one of Calculus, Foundations or Physics must be enrolled in Elementary Functions. How many freshman mathematics majors are enrolled in Elementary Functions? You need show no work; this will be graded correct/incorrect. Answer 4. (6 pts) Please provide a numerical answer to each of the following. You need not show your work; the problems will be graded correct/incorrect. (a) A city council consists of a mayor, two city attorneys, and 9 aldermen. How many different committees of 6 people may be formed if the mayor and exactly one attorney must be on each committee? Answer (b) Automobile license plates in Alaska are marked with three letters in sequence, followed by three digits in sequence. No letter may appear more than once; no digit may appear more than once. The digit "0" is never used, in order to avoid confusion with the letter "0." How many different license plates are possible? Answer (c) A poker hand is five cards drawn from a standard deck of 52 cards. In how many different ways can a poker player draw a full house? A full house consists of three cards of one rank and two cards of a different rank, such as 3 queens and 2 aces. Answer

Answer 1

By rules and regulations we are allow to do only one question at a time..so i do only question 3rd..

Doubt in any step then comment below.. i will help you..

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please thumbs up for this solution..thanks..

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here i take 3 sets ,

Ca represnent calculas sutdent

FM represent foundations of mathematics student

Ph represent physics students ..