हिंदी

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(Iii) at Least 3 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(iii) at least 3 girls? 

Advertisements

उत्तर

If the team has at least 3 girls, then the number of ways of selecting 5 members =\[{}^4 C_3 \times^7 C_2 +^4 C_4 \times^7 C_1 = 84 + 7 = 91\]

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 17: Combinations - Exercise 17.2 [पृष्ठ १६]

APPEARS IN

आरडी शर्मा Mathematics [English] Class 11
अध्याय 17 Combinations
Exercise 17.2 | Q 19.3 | पृष्ठ १६

वीडियो ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्न

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


How many words, with or without meaning, can be formed using all the letters of the word EQUATION at a time so that the vowels and consonants occur together?


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?


How many three-digit numbers are there with no digit repeated?


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?


If nC4 = nC6, find 12Cn.


If 15C3r = 15Cr + 3, find r.


If 8Cr − 7C3 = 7C2, find r.


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.


From 4 officers and 8 jawans in how many ways can 6 be chosen (i) to include exactly one officer


From 4 officers and 8 jawans in how many ways can 6 be chosen. to include at least one officer?


Find the number of diagonals of , 1.a hexagon


How many triangles can be obtained by joining 12 points, five of which are collinear?


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 (ii) at least one boy and one girl? 


Find the number of (ii) triangles


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


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


How many different words, each containing 2 vowels and 3 consonants can be formed with 5 vowels and 17 consonants?


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


If n + 1C3 = 2 · nC2 , then n =


Five students are selected from 11. How many ways can these students be selected if two specified students are not selected?


Find the value of 15C4 


Find the value of 80C2


If α = mC2, then αCis equal to.


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?


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?


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 two must be white and two red


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?


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


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!)`.


All possible numbers are formed using the digits 1, 1, 2, 2, 2, 2, 3, 4, 4 taken all at a time. The number of such numbers in which the odd digits occupy even places is ______.


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 ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×