मराठी

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. - Mathematics

Advertisements
Advertisements

प्रश्न

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.

Advertisements

उत्तर

Required number of ways = 

\[{}^6 C_3 \times^5 C_3 \times^5 C_3 = \frac{6!}{3! 3!} \times \frac{5!}{3! 2!} \times \frac{5!}{3! 2!} = 2000\]
shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 17: Combinations - Exercise 17.2 [पृष्ठ १६]

APPEARS IN

आरडी शर्मा Mathematics [English] Class 11
पाठ 17 Combinations
Exercise 17.2 | Q 25 | पृष्ठ १६

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

If nC8 = nC2, find nC2.


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


In how many ways can a team of 3 boys and 3 girls be selected from 5 boys and 4 girls?


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?


If the different permutations of all the letter of the word EXAMINATION are listed as in a dictionary, how many words are there in this list before the first word starting with E?


Compute:

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

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?


Twelve students complete in a race. In how many ways first three prizes be given?


How many three-digit odd numbers are there?


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

the first-digit cannot be zero, but the repetition of digits is allowed?


Evaluate the following:

12C10


If nC10 = nC12, find 23Cn.


If 18Cx = 18Cx + 2, find x.


If 15Cr : 15Cr − 1 = 11 : 5, find r.


If 28C2r : 24C2r − 4 = 225 : 11, find r.


If 2nC3 : nC2 = 44 : 3, find n.


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 excluded.


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 , 1.a hexagon


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


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


Determine the number of 5 cards combinations out of a deck of 52 cards if at least one of the 5 cards has to be a king?


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


If nCr + nCr + 1 = n + 1Cx , then x =


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


If 43Cr − 6 = 43C3r + 1 , then the value of r is


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.


Answer the following:

A question paper has 6 questions. How many ways does a student have to answer if he wants to solve at least one question?


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 selections be made?


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


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.


A convex polygon has 44 diagonals. Find the number of its sides.


Everybody in a room shakes hands with everybody else. The total number of handshakes is 66. The total number of persons in the room is ______.


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 ______.


15C8 + 15C915C615C7 = ______.


Three balls are drawn from a bag containing 5 red, 4 white and 3 black balls. The number of ways in which this can be done if at least 2 are red is ______.


The number of positive integers satisfying the inequality `""^(n+1)C_(n-2) - ""^(n+1)C_(n-1) ≤ 100` is ______.


There are 12 balls numbered from 1 to 12. The number of ways in which they can be used to fill 8 places in a row so that the balls are with numbers in ascending or descending order is equal to ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×