Home
Class 11
MATHS
From a class of 25 students, 10 are to b...

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 ?

Text Solution

Verified by Experts

The correct Answer is:
`""^(22)C_(7)+""^(22)C_(10)`
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS AND COMBINATIONS

    NCERT GUJARATI|Exercise EXERCISE 7.4|10 Videos
  • MATHEMATICAL REASONING

    NCERT GUJARATI|Exercise Miscellaneous Exercise on Chapter 14|16 Videos
  • PRINCIPLE OF MATHEMATICAL INDUCTION

    NCERT GUJARATI|Exercise EXERCISE - 4.1|24 Videos

Similar Questions

Explore conceptually related problems

There are 25 students in a class in which 15 boys and 10 girls. The class teacher select either a boy or girl for monitor of the class. In how many ways the class teacher can make this selection?

A sports team of 11 students is to be constituted, choosing alteast 5 from class XI and atleast 5 from class XII. If there are 20 students in each of these classes, in how many ways can the team be constituted ?

We wish tto select 6 person from 8 but, if the person A is chosen, then B must be chosen. In how many ways can selections be made ?

A man has 10 friends, in how many ways he can invite one or more of them to a party?

In a class of 30 students, 12 students like emboidary, 16 students like physics and 18 student like history. If all students select at least one subject and none of them select all the subject then find the number of students select 2 subject.

Seven relatives of a man comprises four ladies and three gentlemen: his wife has also seven relatives-three of them are ladies and four gentlemen. In how many ways fan they invite 3 ladies and 3 gentlemen at a dinner party so that there are three mans relatives and three wifes relatives?

A question paper consists of two sections having respectively, 3 and 5 questions. The followinng note is given on the paper "it is not necessory to attempt all the questions one questions from each section is compulsory". In how many ways can candidate select the questions?

In how many ways can 4 prizes be distributed among 5 students, if no student gets all the prizes?

In an examination, a question paper consists of 12 questions divided into two parts i.e., Part I and Part II, containing 5 and 7 questions, respectively. A student is required to attempt 8 questions in all, selecting at least 3 from each part. In how many ways can a student select the questions?

There are 6 different noavls and 3 different dictionary we have to select 4 nocvals and I dictionary from them and arrange them on a shelf such that the doctionary remain in the maddle always, How many way this arrangement will be done ?