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? - Mathematics

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

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

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

Determine n if  `""^(2n)C_3 : ""^nC_3 = 11: 1`


Compute:

\[\frac{11! - 10!}{9!}\]

Twelve students complete in a race. In how many ways first three prizes be given?


From among the 36 teachers in a college, one principal, one vice-principal and the teacher-incharge are to be appointed. In how many ways can this be done?


How many three-digit odd numbers are there?


How many different five-digit number licence plates can be made if

the first-digit cannot be zero, but the repetition of digits is allowed?


Evaluate the following:

14C3


If 15C3r = 15Cr + 3, find r.


If 8Cr − 7C3 = 7C2, find r.


If n +2C8 : n − 2P4 = 57 : 16, find n.


If 28C2r : 24C2r − 4 = 225 : 11, find r.


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?


Find the number of (i) diagonals


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


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.


In how many ways can a student choose a programme of 5 courses if 9 courses are available and 2 specific courses are compulsory for every student?


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?


Total number of words formed by 2 vowels and 3 consonants taken from 4 vowels and 5 consonants 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?


Given 11 points, of which 5 lie on one circle, other than these 5, no 4 lie on one circle. Then the number of circles that can be drawn so that each contains at least 3 of the given points is


The value of\[\left( \ ^{7}{}{C}_0 + \ ^{7}{}{C}_1 \right) + \left( \ ^{7}{}{C}_1 + \ ^{7}{}{C}_2 \right) + . . . + \left( \ ^{7}{}{C}_6 + \ ^{7}{}{C}_7 \right)\] is


Find the value of 20C1619C16 


If α = mC2, then αCis equal to.


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


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 bag contains six white marbles and five red marbles. Find the number of ways in which four marbles can be drawn from the bag if they can be of any colour


The number of parallelograms that can be formed from a set of four parallel lines intersecting another set of three parallel lines 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.


There are 15 players in a cricket team, out of which 6 are bowlers, 7 are batsmen and 2 are wicketkeepers. The number of ways, a team of 11 players be selected from them so as to include at least 4 bowlers, 5 batsmen and 1 wicketkeeper, is ______.


There are 12 balls numbered from 1 to 12. The number of ways in which they can be used to fill 8 places in a row so that the balls are with numbers in ascending or descending order is equal to ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×