## Solution Library

#### Selection of Particular Committee Members out of Eleven Members

Question How many ways can the selection of a chairperson, vice-chairperson, secretary, and a treasurer be made from a committee of 11 people? Summary This question belongs to mathematics and discusses about selection of a chairperson, vice-chairperson, secretary, and a treasurer be made from a c ... Read More

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#### Six Character Strings can be Formed from 26-alphabets Without Repetition of Letters

Question How many six character strings can be formed from the 26-letter alphabet if no letter is to be repeated? Summary This question belongs to mathematics and discusses about formation of six character strings from the 26-letter alphabet if no letter is to be repeated. Total word count: 15 ... Read More

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#### Formation of Different Committees from a Group of People

Question A room consists of 6 men and 4 women. How many ways can we select a committee of 4 people? How many ways can we select a committee of 4 people that has 2 men and 2 women? How many ways can we select a committee of 4 people that has at least one woman? Summary This question belongs ... Read More

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#### Formation of Different Student Committees from a List of Students Â

Question A list of students contains 6 freshman, 5 sophomores, 7 juniors, and 3 seniors. How many committees of 8 people can be formed from the students on the list? How many committees of 8 people can be formed with 2 students from each class? Summary This question belongs to mathematics a ... Read More

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#### How Many Words can be formed from the Word BANANA

Question How many words can be formed by ordering the letters in the word BANANA? Summary This question belongs to mathematics and discusses about formation different words by ordering the letters in the word BANANA. Total word count: 20   ... Read More

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#### How Many Words can be formed from the Word STATISTICS

Question How many words can be formed by ordering the letters in the word STATISTICS? Summary This question belongs to mathematics and discusses about formation different words by ordering the letters in the word STATISTICS. Total word count: 17   ... Read More

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#### Formulation of Linear Differential Equations

Question A tub of water is taken whose temperature outdoors at t= 0 after spending a lone time in a room whose temperature was 68° F (20° C). Outdoor temperature is 390 F (5°C). Assume that the temperature of the water obeys Newton’s law of cooling, with time constant of 30 minute ... Read More

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#### Formulation of Linear Differential Equations

Question A tub of water is taken whose temperature outdoors at t= 0 after spending a lone time in a room whose temperature was 68° F (20° C). Outdoor temperature is 390 F (5°C). Assume that the temperature of the water obeys Newton’s law of cooling, with time constant of 30 minute ... Read More

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#### Formulation of First Order Differential Equations

Question We are given the following initial value problem                Formulate a set of first order differential equations and initial values in the variable U1 = y and      U2 = y' that is equiva ... Read More

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#### Formulation of Auxiliary Equation, Homogenous Solution and Particular Solution

Question For the following linear differential equations, find i) the auxiliary equation ii) the homogenous solution iii) the particular solution.                         &nbs ... Read More

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#### Formulation of Differential Equation

Question The differential equation y"-3y'+2y = 2t has the following general solution                    y(t)=C1 et+C2 e2t +t+1.5 Find the solution of this differential equation that satisfies initial values ... Read More