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6 male students and 3 female students sit around a round table. The probability that no 2 female students sit beside each other can be expressed as a/b, where a and b are coprime positive integers. What is the value of a+b? Solution) For no female to sit beside each other the females should sit in alternate places.let the males also occupy alternate places then the no. of arrangements for male= (6-1)!=5! (circular permut.)the females can be give the 6 vacant places but there are only 3 female so arrangements= 6-P-3=20hence total no. of favourable outcomes= 20 . 5!and total outcomes= (9-1)!=8!hence P(e)= 20.5!/8!=20/8.7.6=5/84HENCE a+b=5+84=89(ANS)
Determine the differential for following. y = t 3 - 4t 2 + 7t Solution Before working any of these we have to first discuss just
Hi may i know how to substract the (ID)colum matrix from (K)square matrix as per equation below. E = (K - ID)^-1 S K is m*m matrix I is idntity matrix d is column vector s is col
cos^2(A)x sin(A)
The time in seconds that it takes for a sled to slide down a hillside inclined at and angle θ is where d is the length of the slope in metres. Find the time it takes to sli
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(a) Convert z = - 2 - 2 i to polar form. (b) Find all the roots of the equation w 3 = - 2 - 2 i . Plot the solutions on an Argand diagram.
Certain model of new home distributed with a mean of $150,000. Find percentage of buyers who paid between $150,000-155,000 if standard deviation is $1800.
Q. How to Subtract fractions involving negative numbers? Ans. This is the same as adding them, but just remember the rule that two negatives on the same fraction cancel ou
Example of Circles - Common Polar Coordinate Graphs Example: Graph r = 7, r = 4 cos θ, and r = -7 sin θ on similar axis system. Solution The very first one is a circle
How should shoppers''stop develop its demand forecasts?
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