मराठी

In how many ways can a football team of 11 players be selected from 16 players? How many of them will exclude 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 exclude 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 excluded 

Then the number of ways of selection = `""^(16 - 2)"C"_11`

= 14C11

Hence, the required number of ways of selection 14C11

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.(ii) | पृष्ठ १२४

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

If nC8 = nC2, find nC2.


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


In how many ways can one select a cricket team of eleven from 17 players in which only 5 players can bowl if each cricket team of 11 must include exactly 4 bowlers?


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?


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?


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?


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?


How many A.P.'s with 10 terms are there whose first term is in the set {1, 2, 3} and whose common difference is in the set {1, 2, 3, 4, 5}?


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 3-digit numbers are there, with distinct digits, with each digit odd?


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?


Serial numbers for an item produced in a factory are to be made using two letters followed by four digits (0 to 9). If the letters are to be taken from six letters of English alphabet without repetition and the digits are also not repeated in a serial number, how many serial numbers are possible?


Evaluate the following:

14C3


Evaluate the following:

\[\sum^5_{r = 1} {}^5 C_r\]

 


If 15C3r = 15Cr + 3, find r.


If α = mC2, then find the value of αC2.


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?


How many different products can be obtained by multiplying two or more of the numbers 3, 5, 7, 11 (without repetition)?


Find the number of diagonals of , 1.a hexagon


In how many ways can a committee of 5 persons be formed out of 6 men and 4 women when at least one woman has to be necessarily selected?


In a village, there are 87 families of which 52 families have at most 2 children. In a rural development programme, 20 families are to be helped chosen for assistance, of which at least 18 families must have at most 2 children. In how many ways can the choice be made?


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


Determine the number of 5 cards combinations out of a deck of 52 cards if there is exactly one ace in each combination.


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: atmost 3 girls?


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 3 letters and 3 directed envelopes. Write the number of ways in which no letter is put in the correct envelope.


There are 10 points in a plane and 4 of them are collinear. The number of straight lines joining any two of them is


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?


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


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


Find n if `""^(2"n")"C"_3: ""^"n""C"_2` = 52:3


A student has to answer 10 questions, choosing atleast 4 from each of Parts A and B. If there are 6 questions in Part A and 7 in Part B, in how many ways can the student choose 10 questions?


In a small village, there are 87 families, of which 52 families have atmost 2 children. In a rural development programme 20 families are to be chosen for assistance, of which atleast 18 families must have at most 2 children. In how many ways can the choice be made?


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 at least three girls.


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


The number of ways in which a team of eleven players can be selected from 22 players always including 2 of them and excluding 4 of them is ______.


In a football championship, 153 matches were played, Every two teams played one match with each other. The number of teams, participating in the championship is ______.


Number of selections of at least one letter from the letters of MATHEMATICS, 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 ______.


From 6 different novels and 3 different dictionaries, 4 novels and 1 dictionary are to be selected and arranged in a row on the shelf so that the dictionary is always in the middle. Then, the number of such arrangements is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×