class 11

Math

Algebra

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

Connecting you to a tutor in 60 seconds.

Get answers to your doubts.

Determine $n$ if (i) $_{2n}C_{3}:_{n}C_{3}=12:1$ (ii) $_{2n}C_{3}:_{n}C_{3}=11:1$

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 $3_{3}$

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 $a_{1},a_{2},…a_{n}$ be in A.P. wth common difference $6π $. if $seca_{1}seca_{2}+seca_{2}seca_{3}+….seca_{n−1}seca_{n}$=$k(tana_{n}−tana_{1})$Find the value of k

The number of possible outcomes in a throw of $n$ ordinary dice in which at least one of the die shows and odd number is a. $6_{n}−1$ b. $3_{n}−1$ c. $6_{n}−3_{n}$ d. none of these