Im having difficulty in understanding Permutation/combination distribution of similar/dissimilar among similar/dissimilar group... HELP....
100!= k (2!)^x*(5!)^y*(7!)^z
max value of x+y+z ?
A cone is filled with water. Two solid spheres are placed in the cone as shown in the figure and water spills out. The spheres are touching each other, each sphere touches the cone and the top of the sphere is level with the top of the cone. The larger sphere has radius twice that of the smaller sphere. If the volume of the water remaining in the cone is 2016pi cubic units, the radius in units of the smaller sphere will be..?
There are three cities: A, B and C. Each of these cities is connected with the other two cities by at least one direct road. If a traveller wants to go from one city (origin) to another city (destination), she can do so either by traversing a road connecting the two cities directly, or by traversing two roads, the first connecting the origin to the third city and the second connecting the third city to the destination. In all there are 33 routes from A to B (including those via C). Similarly, there are 23 routes from B to C (including those via A). How many roads are there from A to C directly?
(a) 6 (b) 3 (c) 5 (d) 10
F(x) is a polynomial in x of degree 7. The coefficient of x^7 in F(x) is 1. F(1) = 5, F(2) = 7, F(3) = 9, F(4) = 11, F(5) = 13, F(6) = 15, F(7) = 17. Find F(8).
(a) 21
(b) 4943
(c) 5059
(d) 5071
Approach pls.
A confused bank teller transposed the rupees and paise when he cashed a cheque for Shailaja giving her rupees instead of paise and paise instead of rupees. After buying a toffee for 50 paise, Shailaja noticed that she was left with exactly three times as much as the amount on the cheque. Which of the following is a valid statement about the cheque amount?
(a) Over Rupees 13 but less than Rupees 14
(b) Over Rupees 7 but less than Rupees 8
(c) Over Rupees 22 but less than Rupees 23
(d) Over Rupees 18 but less than Rupees 19
(e) Over Rupees 4 but less than Rupees 5
The distance between orthocentre and circumcentre of the triangle with vertices (0,0), (a,0) and (0,b) is ---?
The area enclosed by 2|x| +3|y| ≤ 6 is ---?
If sinx + siny + sinz=3
find the value of cosx + cosy +cosz