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Consider English alphabets, how many 5 letters words can be form, if the 2nd letter can NOT be (B,D,E), 4nd letter must be (A,N) and the letter must not repeated.
A boat can travel 54 mph in still water. if it travels 236 miles with the current in the same length of time it travels 196 miles against the current what is the speed of the current?
A school had a very unusual tradition involving its 1000 students and its 1000 lockers. On opening day, after the head of the school had closed all the lockers, a student walked by and opened every single one.
Find and solve a recurrence relation for the number of ways to make a pile of n chips using red, white, and blue chips and such that no two red chips are together.
Expected value, indifference probabilities, expected utility, For the payoff table below, the decision maker will use P(s1) = .15, P(s2) = .5, and P(s3) = .35.
Suppose that in a company with 775 employees, the monthly salaries are normally distributed. The mean salary is $6400 and the standard deviation is $800. About how many employees earn more than $4200 per month?
A manufacture has been selling 1200 television sets a week at $420 each. A market survey indicates that for each $17 rebate offered to a buyer, the number of sets sold will increase by 170 per week. How would you find out the rebate that would max..
Find the x-coordinate of the absolute maximum for the function f(x)=(3+9ln(x))/x x>0
How many ways can we order a deck of 52 cards so that all the heats are together, all the clubs are together, all the diamonds are together and all the spades are together?
Let S be the conic surface z = 3 sqrt (x^2 + y^2), where z is greater than or equal to 0 and less than or equal to 3. Find (double integral over S) z dS.
There are two small cities, Santa Clara and Santa Rosa. Santa Clara has 20 houses and Santa Rosa has 15 houses. An inspector must randomly choose 5 houses in Santa Clara and 7 houses in Santa Rosa to inspect.
In any group G, some of the elements of G commute with all of the other elements in G. The set of all such elements in G is called the centre of G, and is denoted by Z(G).
The difference exists between the mean number
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