मराठी

Ten students are to be selected for a project from a class of 30 students. There are 4 students who want to be together either in the project or not in the project. Find the number of possible

Advertisements
Advertisements

प्रश्न

Ten students are to be selected for a project from a class of 30 students. There are 4 students who want to be together either in the project or not in the project. Find the number of possible selections.

बेरीज
Advertisements

उत्तर

Case I Case II
4 Students are in 4 Students are out
Number of ways = 26C6 Number of ways = 26C10

Required number = 26C6 + 26C10 

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 6: Permutations and Combinations - Miscellaneous Exercise 6 [पृष्ठ ९२]

APPEARS IN

बालभारती Mathematics and Statistics (Commerce) Part 2 [English] Standard 11 Maharashtra State Board
पाठ 6 Permutations and Combinations
Miscellaneous Exercise 6 | Q 8 | पृष्ठ ९२

संबंधित प्रश्‍न

If the different permutations of all the letter of the word EXAMINATION are listed as in a dictionary, how many words are there in this list before the first word starting with E?


It is required to seat 5 men and 4 women in a row so that the women occupy the even places. How many such arrangements are possible?


How many different numbers of six digits each can be formed from the digits 4, 5, 6, 7, 8, 9 when repetition of digits is not allowed?


From a group of 15 cricket players, a team of 11 players is to be chosen. In how many ways can this be done?


In an examination, a student has to answer 4 questions out of 5 questions; questions 1 and 2 are however compulsory. Determine the number of ways in which the student can make the choice.


A committee of 3 persons is to be constituted from a group of 2 men and 3 women. In how many ways can this be done? How many of these committees would consist of 1 man and 2 women?


A committee of 7 has to be formed from 9 boys and 4 girls. In how many ways can this be done when the committee consists of: exactly 3 girls?


Out of 18 points in a plane, no three are in the same straight line except five points which are collinear. How many (i) straight lines


A business man hosts a dinner to 21 guests. He is having 2 round tables which can accommodate 15 and 6 persons each. In how many ways can he arrange the guests?


If\[\ ^{( a^2 - a)}{}{C}_2 = \ ^{( a^2 - a)}{}{C}_4\] , then a =


The number of diagonals that can be drawn by joining the vertices of an octagon is


If n + 1C3 = 2 · nC2 , then n =


Find n if `""^6"P"_2 = "n" ""^6"C"_2`


There are 3 wicketkeepers and 5 bowlers among 22 cricket players. A team of 11 players is to be selected so that there is exactly one wicketkeeper and at least 4 bowlers in the team. How many different teams can be formed?


Find the number of ways of dividing 20 objects in three groups of sizes 8, 7, and 5.


Find the value of 80C2


A boy has 3 library tickets and 8 books of his interest in the library. Of these 8, he does not want to borrow Mathematics Part II, unless Mathematics Part I is also borrowed. In how many ways can he choose the three books to be borrowed?


If 20 lines are drawn in a plane such that no two of them are parallel and no three are concurrent, in how many points will they intersect each other?


If nC12 = nC8, then n is equal to ______.


Given 5 different green dyes, four different blue dyes and three different red dyes, the number of combinations of dyes which can be chosen taking at least one green and one blue dye is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×