मराठी

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

 exclude 2 particular players?

उत्तर

If 2 particular players are excluded, it would mean that out of 14 players, 11 players are selected.  Required number of ways =\[{}^{14} C_{11} = \frac{14!}{11! 3!} = \frac{14 \times 13 \times 12}{3 \times 2 \times 1} = 364\]

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 17: Combinations - Exercise 17.2 [पृष्ठ १५]

APPEARS IN

आरडी शर्मा Mathematics [English] Class 11
पाठ 17 Combinations
Exercise 17.2 | Q 4.2 | पृष्ठ १५

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

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


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?


Determine the number of 5-card combinations out of a deck of 52 cards if each selection of 5 cards has exactly one king.


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?


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?


A coin is tossed five times and outcomes are recorded. How many possible outcomes are there?


There are 5 books on Mathematics and 6 books on Physics in a book shop. In how many ways can a students buy : (i) a Mathematics book and a Physics book (ii) either a Mathematics book or a Physics book?


In how many ways can six persons be seated in a row?


How many odd numbers less than 1000 can be formed by using the digits 0, 3, 5, 7 when repetition of digits is not allowed?


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


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?


If nC12 = nC5, find the value of n.


If 18Cx = 18Cx + 2, find x.


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 student is included.


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


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 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?


A parallelogram is cut by two sets of m lines parallel to its sides. Find the number of parallelograms thus formed.


Find the number of ways in which : (b) an arrangement, of four letters can be made from the letters of the word 'PROPORTION'.


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 + 4 , then rC3 is equal to


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


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


A lady gives a dinner party for six guests. The number of ways in which they may be selected from among ten friends if two of the friends will not attend the party together is


In how many ways can the letters of the word 'IMAGE' be arranged so that the vowels should always occupy odd places?


How many committee of five persons with a chairperson can be selected from 12 persons.


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?


The number of triangles that are formed by choosing the vertices from a set of 12 points, seven of which lie on the same line is ______.


15C8 + 15C915C615C7 = ______.


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 ______.


There are 12 points in a plane of which 5 points are collinear, then the number of lines obtained by joining these points in pairs is 12C25C2.


If some or all of n objects are taken at a time, the number of combinations is 2n – 1.


Eighteen guests are to be seated, half on each side of a long table. Four particular guests desire to sit on one particular side and three others on other side of the table. The number of ways in which the seating arrangements can be made is `(11!)/(5!6!) (9!)(9!)`.


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 ______.


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 ______.


The no. of different ways, the letters of the word KUMARI can be placed in the 8 boxes of the given figure so that no row remains empty will be ______.


There are ten boys B1, B2, ...., B10 and five girls G1, G2, ...., G5 in a class. Then the number of ways of forming a group consisting of three boys and three girls, if both B1 and B2 together should not be the members of a group is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×