मराठी

In how many ways can a football team of 11 players be selected from 16 players? How many of them will include 2 particular players?

Advertisements
Advertisements

प्रश्न

In how many ways can a football team of 11 players be selected from 16 players? How many of them will include 2 particular players?

बेरीज
Advertisements

उत्तर

Given that the total number of players = 16

We have to select 11 players out of 16 players.

If 2 players are included

Then number of ways of selection = `""^(16 - 2)"C"_(11 - 2)`

= 14C9  

Hence, the required number of ways of selection 14C9  

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 7: Permutations and Combinations - Exercise [पृष्ठ १२४]

APPEARS IN

एनसीईआरटी एक्झांप्लर Mathematics Exemplar [English] Class 11
पाठ 7 Permutations and Combinations
Exercise | Q 23.(i) | पृष्ठ १२४

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

In how many ways can a team of 3 boys and 3 girls be selected from 5 boys and 4 girls?


In a class there are 27 boys and 14 girls. The teacher wants to select 1 boy and 1 girl to represent the class in a function. In how many ways can the teacher make this selection?


A person wants to buy one fountain pen, one ball pen and one pencil from a stationery shop. If there are 10 fountain pen varieties, 12 ball pen varieties and 5 pencil varieties, in how many ways can he select these articles?


In how many ways can an examinee answer a set of ten true/false type questions?


There are 6 multiple choice questions in an examination. How many sequences of answers are possible, if the first three questions have 4 choices each and the next three have 2 each?


A team consists of 6 boys and 4 girls and other has 5 boys and 3 girls. How many single matches can be arranged between the two teams when a boy plays against a boy and a girl plays against a girl?


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?


How many four digit different numbers, greater than 5000 can be formed with the digits 1, 2, 5, 9, 0 when repetition of digits is not allowed?


A number lock on a suitcase has 3 wheels each labelled with ten digits 0 to 9. If opening of the lock is a particular sequence of three digits with no repeats, how many such sequences will be possible? Also, find the number of unsuccessful attempts to open the lock.


Evaluate the following:

14C3


Evaluate the following:

35C35


If nC12 = nC5, find the value of n.


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 how many ways can a football team of 11 players be selected from 16 players? How many of these will

include 2 particular players?


There are 10 professors and 20 students out of whom a committee of 2 professors and 3 students is to be formed. Find the number of ways in which this can be done. Further find in how many of these committees:
a particular professor is included.


How many different selections of 4 books can be made from 10 different books, if
there is no restriction;


From 4 officers and 8 jawans in how many ways can 6 be chosen (i) to include exactly one officer


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


There are 10 points in a plane of which 4 are collinear. How many different straight lines can be drawn by joining these points.


Find the number of diagonals of , 1.a hexagon


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 (ii) at least one boy and one girl? 


Determine the number of 5 cards combinations out of a deck of 52 cards if at least one of the 5 cards has to be a king?


Find the number of ways in which : (a) a selection


Find the number of combinations and permutations of 4 letters taken from the word 'EXAMINATION'.


If 20Cr = 20Cr + 4 , then rC3 is equal to


5C1 + 5C2 5C3 + 5C4 +5C5 is equal to


In how many ways can a committee of 5 be made out of 6 men and 4 women containing at least one women?


There are 13 players of cricket, out of which 4 are bowlers. In how many ways a team of eleven be selected from them so as to include at least two bowlers?


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


Four parallel lines intersect another set of five parallel lines. Find the number of distinct parallelograms that can be formed.


Find the value of 80C2


Answer the following:

A question paper has 6 questions. How many ways does a student have to answer if he wants to solve at least one question?


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?


A bag contains 5 black and 6 red balls. Determine the number of ways in which 2 black and 3 red balls can be selected from the lot.


A convex polygon has 44 diagonals. Find the number of its sides.


The number of ways in which we can choose a committee from four men and six women so that the committee includes at least two men and exactly twice as many women as men is ______.


A candidate is required to answer 7 questions out of 12 questions which are divided into two groups, each containing 6 questions. He is not permitted to attempt more than 5 questions from either group. He can choose the seven questions in 650 ways.


A scientific committee is to be formed from 6 Indians and 8 foreigners, which includes at least 2 Indians and double the number of foreigners as Indians. Then the number of ways, the committee can be formed is ______.


A badminton club has 10 couples as members. They meet to organise a mixed double match. If each wife refers to p artner as well as oppose her husband in the match, then the number of different ways can the match off will be ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×