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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)
Definition 1: Given the function f (x ) then 1. f ( x ) is concave up in an interval I if all tangents to the curve on I are below the graph of f ( x ) . 2. f ( x ) is conca
1.find lim sup Ek and liminf Ek of Ek=[(-(1/k),1] for k odd and liminf Ek=[(-1,(1/k)] for k even. 2.Show that the set E = {x in R^2 : x1, x2 in Q} is dense in R^2. 3.let r>0 an
The index of industrial production This is a quantity index compiled by the government. This measures changes in the volume of production in main industries. The index is a ex
Define Cofactor of an Element.
Thorwarth M., Arisha, A. and Harper P., (2009) Simulation model to investigate flexible workload management for healthcare and servicescape environment, Proceedings of the 2009 Win
Suppose a regular polygon , which is an N-sided with equal side lengths S and similar angles at each corner. There is an inscribed circle to the polygon that has center C and ba
1/8 of the passengers of a train were children.If there were 40 children travelling in the train on a certain day,how many adults were there in that train that day?
Suppose that the number of hours Katie spent practicing soccer is represented through x. Michael practiced 4 hours more than 2 times the number of hours that Katie practiced. How l
t=2x/s-7
Logarithmic functions have the following general properties If y = log a x, a > 0 and a ≠1, then The domain of the function
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