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What is the mnimum number of ways of choosing 4 cards from a pack of 52 playing cards? in how many of these:
1) are 4 card of the same suit?
2)do 4 cards belong to 4 different suits?
[I found the answer to 1) as 13C4+13C4+ 13C4+ 13C4. but when I don't understand how to solve question number 2. According to solutions it is given as 13C1 x 13C1 x 13C1 x 13C1= 13^4.
I understand how we got 13C1 but I don't understand why multiplication was used and not division]
three normals to y.y=4x pass through the pts [15,12].show that one of normal is y=x-3.
if a triangle is formed by 3 tangents of the parabola y.y=4ax two of whose vertices lie on the parabolax.x=4by.locus of 3 vertex?
if the line y=x+k is the normal to the parabola y.y=4x. value of k.
prove that parabolas y.y=4ax and y.y=4c[x-b] have a common normalnot passing through vertices.
find the equation of the common tangents to the parabola y.y=4ax and x.x=4by.
prove that the circle described on any focal chord of a parabola as diameter touches the directrix.