मराठी

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

Advertisements
Advertisements

प्रश्न

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

पर्याय

  • 45

  • 350

  • 4200

  • 230

MCQ

उत्तर

350

Explanation:

Out of 7 men, 3 men can be chosen in 7C3 ways and out of 5 women

2 women can be chosen in 5C2 ways.

Hence, the committee can be chosen in 7C3 × 5C2 = 350 ways.

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 7: Permutations and Combinations - Solved Examples [पृष्ठ १२०]

APPEARS IN

एनसीईआरटी एक्झांप्लर Mathematics [English] Class 11
पाठ 7 Permutations and Combinations
Solved Examples | Q 14 | पृष्ठ १२०

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

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


Determine the number of 5 card combinations out of a deck of 52 cards if there is exactly one ace in each combination.


How many 6-digit numbers can be formed from the digits 0, 1, 3, 5, 7 and 9 which are divisible by 10 and no digit is repeated?


It is required to seat 5 men and 4 women in a row so that the women occupy the even places. How many such arrangements are possible?


Compute: 

(i)\[\frac{30!}{28!}\]


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?


How many three-digit odd numbers are there?


How many four-digit numbers can be formed with the digits 3, 5, 7, 8, 9 which are greater than 7000, if repetition of digits is not allowed?


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


Evaluate the following:

35C35


If 18Cx = 18Cx + 2, find x.


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


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?


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?


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. to include at least one officer?


A sports team of 11 students is to be constituted, choosing at least 5 from class XI and at least 5 from class XII. If there are 20 students in each of these classes, in how many ways can the teams be constituted?


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


In how many ways can a student choose a programme of 5 courses if 9 courses are available and 2 specific courses are compulsory for every student?


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


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


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


There are 8 doctors and 4 lawyers in a panel. Find the number of ways for selecting a team of 6 if at least one doctor must be in the team.


Find the value of 15C4 + 15C5 


If α = mC2, then αCis equal to.


The straight lines l1, l2 and l3 are parallel and lie in the same plane. A total numbers of m points are taken on l1; n points on l2, k points on l3. The maximum number of triangles formed with vertices at these points are ______.


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?


If nCr – 1 = 36, nCr = 84 and nCr + 1 = 126, then find rC2.


There are 3 books on Mathematics, 4 on Physics and 5 on English. How many different collections can be made such that each collection consists of:

C1 C2
(a) One book of each subject; (i) 3968
(b) At least one book of each subject: (ii) 60
(c) At least one book of English: (iii) 3255

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 ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×