हिंदी

In How Many Ways Can a Football Team of 11 Players Be Selected from 16 Players? How Many of These Willinclude 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 these will

include 2 particular players?

उत्तर

Number of ways in which 11 players can be selected out of 16 =\[{}^{16} C_{11} = \frac{16!}{11! 5!} = \frac{16 \times 15 \times 14 \times 13 \times 12}{5 \times 4 \times 3 \times 2 \times 1} = 4368\]

 

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 17: Combinations - Exercise 17.2 [पृष्ठ १५]

APPEARS IN

आरडी शर्मा Mathematics [English] Class 11
अध्याय 17 Combinations
Exercise 17.2 | Q 4.1 | पृष्ठ १५

वीडियो ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्न

How many chords can be drawn through 21 points on a circle?


Find the number of ways of selecting 9 balls from 6 red balls, 5 white balls and 5 blue balls if each selection consists of 3 balls of each colour.


The English alphabet has 5 vowels and 21 consonants. How many words with two different vowels and 2 different consonants can be formed from the alphabet?


Compute: 

(i)\[\frac{30!}{28!}\]


Compute:

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

Compute:

 L.C.M. (6!, 7!, 8!)


Prove that

\[\frac{1}{9!} + \frac{1}{10!} + \frac{1}{11!} = \frac{122}{11!}\]

From Goa to Bombay there are two roots; air, and sea. From Bombay to Delhi there are three routes; air, rail and road. From Goa to Delhi via Bombay, how many kinds of routes are there?


How many three-digit odd numbers are there?


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

first digit cannot be zero and the repetition of digits is not allowed,


How many 9-digit numbers of different digits can be formed?


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


24Cx = 24C2x + 3, find x.


If 8Cr − 7C3 = 7C2, find r.


How many different boat parties of 8, consisting of 5 boys and 3 girls, can be made from 25 boys and 10 girls?


From a class of 12 boys and 10 girls, 10 students are to be chosen for a competition; at least including 4 boys and 4 girls. The 2 girls who won the prizes last year should be included. In how many ways can the selection be made?


Find the number of diagonals of (ii) a polygon of 16 sides.


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 (i) no girl?


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?


Find the number of (ii) triangles


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: at least 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


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


If 20Cr = 20Cr−10, then 18Cr is equal to


If nCr + nCr + 1 = n + 1Cx , then x =


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


5C1 + 5C2 5C3 + 5C4 +5C5 is equal to


How many different committees of 5 can be formed from 6 men and 4 women on which exact 3 men and 2 women serve?
(a) 6
(b) 20
(c) 60
(d) 120


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


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?


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


Total number of words formed by 2 vowels and 3 consonants taken from 4 vowels and 5 consonants is equal to ______.


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 ______.


To fill 12 vacancies there are 25 candidates of which 5 are from scheduled castes. If 3 of the vacancies are reserved for scheduled caste candidates while the rest are open to all, the number of ways in which the selection can be made is 5C3 × 20C9.


There are 3 books on Mathematics, 4 on Physics and 5 on English. How many different collections can be made such that each collection consists of:

C1 C2
(a) One book of each subject; (i) 3968
(b) At least one book of each subject: (ii) 60
(c) At least one book of English: (iii) 3255

The number of words, with or without meaning, that can be formed by taking 4 letters at a time from the letters of the word 'SYLLABUS' such that two letters are distinct and two letters are alike is ______.


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×