मराठी

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 they must all be of the same colour. - Mathematics

Advertisements
Advertisements

प्रश्न

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 they must all be of the same colour.

बेरीज
Advertisements

उत्तर

Total number of marbles = 6 white + 5 red = 11 marbles

If all the 4 marbles are of the same colour

Then, the required number of ways = 6C4 + 5C4

Hence the required number of ways are 6C4 + 5C4.

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 7: Permutations and Combinations - Exercise [पृष्ठ १२३]

APPEARS IN

एनसीईआरटी एक्झांप्लर Mathematics [English] Class 11
पाठ 7 Permutations and Combinations
Exercise | Q 22.(iii) | पृष्ठ १२३

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

Determine n if  `""^(2n)C_3 : ""^nC_3 = 12 : 1`


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?


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?


In how many ways can an examinee answer a set of ten true/false type questions?


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


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 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 nC4 , nC5 and nC6 are in A.P., then find n.


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


From a group of 15 cricket players, a team of 11 players is to be chosen. In how many ways can this be done?


How many different selections of 4 books can be made from 10 different books, if
two particular books are always selected;


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


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?


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. In how many ways can he choose the 7 questions?


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


Find the number of (i) diagonals


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


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.


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?


Find the number of combinations and permutations of 4 letters taken from the word 'EXAMINATION'.


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


5C1 + 5C2 5C3 + 5C4 +5C5 is equal to


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


Find the number of ways of drawing 9 balls from a bag that has 6 red balls, 5 green balls, and 7 blue balls so that 3 balls of every colour are drawn.


Ten students are to be selected for a project from a class of 30 students. There are 4 students who want to be together either in the project or not in the project. Find the number of possible selections.


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


Find the value of 20C1619C16 


If α = mC2, then αCis equal to.


In how many ways a committee consisting of 3 men and 2 women, can be chosen from 7 men and 5 women?


There are 10 lamps in a hall. Each one of them can be switched on independently. Find the number of ways in which the hall can be illuminated.


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


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 ______.


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.


A scientific committee is to be formed from 6 Indians and 8 foreigners, which includes at least 2 Indians and double the number of foreigners as Indians. Then the number of ways, the committee can be formed is ______.


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 ______.


Total number of 6-digit numbers in which only and all the five digits 1, 3, 5, 7 and 9 appear is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×