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a) How many equivalence relations on {a, b, c, d, e, f} have
b) How many arrangements are there of
c) How many triangles are resolute by the vertices of a regular polygon with
Position Vector There is one presentation of a vector that is unique in some way. The presentation of the ¯v = (a 1 ,a 2 ,a 3 ) that begins at the point A = (0,0,0) and ends
lim n tends to infintiy ( {x} + {2x} + {3x}..... +{nx}/ n2(to the square) )where {X} denotes the fractional part of x? Ans) all no.s are positive or 0. so limit is either positive
cos inverse x -cos inverse 2x=pie\2
introduction
A certain flight arrives on time 78% of the time. Suppose 1000 flights are randomly selected. Use the normal approximation to the binomial to approximate the probability that a)
Solve the following Linear Programming Problem using Simple method. Maximize Z= 3x 1 + 2X 2 Subject to the constraints: X 1 + X 2 ≤ 4
Example of Multiplying Decimals: Example: 0.45 x 10 = 4.5. Same, while multiplying a decimal through 100, 1000, and 10,000, move the decimal point to the right the similar
4 1/2 ----2----1/3=3
2x+2y=10 and 3y+4x=9
Suppose S = {vi} and T = {ti} are "easy" sets of knapsak weight. Also, P and q are primes p > ?Si and q > ?ti. We can combine S and T into a signle set of knapsack weight as follow
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