Permutations and Combinations
The total number of ways in which 5 balls of differert colours can be distributed among 3 persons so thai each person gets at least one ball is
How many 3 -digit even numbers can be formed from the digits 1, 2, 3, 4, 5, 6 if the digits can be repeated?
From a class of 25 students, 10 are to be chosen for an excursion party. There are 3 students who decide that either all of them will join or none of them will join. In how many ways can the excursion party be chosen?
Let f(n) be the number of regions in which n coplanar circles can divide the plane. If it is known that each pair of circles intersect in two different points and no three of them have common points of intersection, then (i) f(20)=382 (ii) f(n) is always an even number (iii) f−1(92)=10 (iv) f(n) can be odd
Statement 1: The number of positive integral solutions of abc=30 is 27. Statement 2: Number of ways in which three prizes can be distributed among three persons is 33
How many words, with or without meaning can be made from the letters of the word MONDAY, assuming that no letter is repeated, if.
(i) 4 letters are used at a time,
(ii) all letters are used at a time,
(iii) all letters are used but first letter is a vowel?
let a1,a2,…an be in A.P. wth common difference 6π. if seca1seca2+seca2seca3+….secan−1secan=k(tanan−tana1)Find the value of k