Permutations and Combinations
Number of quadrilaterals that can be constructed from the vertices of a decagon (10 Sided polygons) such that none of the sides of the quadrilaterals is also a side of the decagon, is ?
Connecting you to a tutor in 60 seconds.
Get answers to your doubts.
In a city no two persons have identical set of teeth and there is no person without a tooth. Also no person has more than 32 teeth. If we disregard the shape and size of tooth and consider only the positioning of the teeth, the maximum population of the city is (A) 232 (B) (32)2−1 (C) 232−1 (D) 232−1
Given 5 flags of different colours, how many different signals can be generated if each signal requires the use of 2 flags, one below the other?
There are 2n guests at a dinner party. Supposing that eh master and mistress of the house have fixed seats opposite one another and that there are two specified guests who must not be placed next to one another, show that the number of ways in which the company can be placed is (2n−2)!×(4n2−6n+4)˙
A group consists of 4 girls and 7 boys. In how many ways can a team of 5 members be selected if the team has (i) no girl ? (ii) at least one boy and one girl ?(iii) at least 3 girls ?
Total number of six-digit numbers that can be formed having the property that every succeeding digit is greater than the preceding digit is equal to
a. 9C3 b. 10C3 c. 9p3 d. 10p3
The number of three digit numbers of the form xyz such that x<y,z≤yandx=0, is
The value of r=0∑n−1nCr/(nCr+nCr+1)
a. n+1 b. n/2 c. n+2 d. none of these
Number of shortest ways in which we can reach from the point (0, 0, 0) to point (3.7, 11) in space where the movement is possible only along the x-axis, y axis and z-axis or parallel to them and change of axes is permitted only at integral points (an integral point is one which has its coordinate as integer) is