मराठी

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 no girls - Mathematics

Advertisements
Advertisements

प्रश्न

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 no girls

बेरीज
Advertisements

उत्तर

We have 4 girls and 7 boys and a team of 5 members is to be selected.

If no girl is selected, then all the 5 members are to be selected out of 7 boys

i.e. 7C5 = `(7!)/(5!2!)`

= `(7 xx 6.51)/(51 xx 2)`

= 21 ways

Hence the required number of ways are 21 ways.

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 25.(i) | पृष्ठ १२४

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

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


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.


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.


How many words, with or without meaning, each of 2 vowels and 3 consonants can be formed from the letters of the word DAUGHTER?


Compute:

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

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?


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?


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?


24Cx = 24C2x + 3, find x.


In how many ways can a student choose 5 courses out of 9 courses if 2 courses are compulsory for every student?


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


A student has to answer 10 questions, choosing at least 4 from each of part A and part 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 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.


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


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?


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 (i) diagonals


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 the selection be made?


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?


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


How many words can be formed by taking 4 letters at a time from the letters of the word 'MORADABAD'?


If 20Cr + 1 = 20Cr − 1 , then r is equal to


The number of ways in which a host lady can invite for a party of 8 out of 12 people of whom two do not want to attend the party together 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


A student finds 7 books of his interest, but can borrow only three books. He wants to borrow Chemistry part II book only if Chemistry Part I can also be borrowed. Find the number of ways he can choose three books that he wants to borrow.


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


Find the value of 15C4 


Find the value of 80C2


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


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?


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 one boy and one girl


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


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 10 professors and 20 lecturers out of whom a committee of 2 professors and 3 lecturer is to be formed. Find:

C1 C2
(a) In how many ways committee: can be formed (i) 10C2 × 19C3 
(b) In how many ways a particular: professor is included (ii) 10C2 × 19C2
(c) In how many ways a particular: lecturer is included (iii) 9C1 × 20C3
(d) In how many ways a particular: lecturer is excluded (iv) 10C2 × 20C3

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 ______.


If number of arrangements of letters of the word "DHARAMSHALA" taken all at a time so that no two alike letters appear together is (4a.5b.6c.7d), (where a, b, c, d ∈ N), then a + b + c + d is equal to ______.


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


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×