मराठी
तामिळनाडू बोर्ड ऑफ सेकेंडरी एज्युकेशनएचएससी विज्ञान इयत्ता ११

A trust has 25 members. In how many ways can a President, Vice President and a Secretary be selected? - Mathematics

Advertisements
Advertisements

प्रश्न

A trust has 25 members. In how many ways can a President, Vice President and a Secretary be selected?

बेरीज

उत्तर

From the 25 members a president can be selected in 25 ways

After the president is selected, 24 persons are left out.

So a Vice President can be selected in (from 24 persons) 24 ways.

After the selection of Vice President 23 persons are left out

So a secretary can be selected (from the remaining 23 persons) in 23 ways

So a president, Vice president and a secretary can be selected in 25P3 ways 

25P3 = 25 × 24 × 23 = 13800 ways

shaalaa.com
Combinations
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 4: Combinatorics and Mathematical Induction - Exercise 4.3 [पृष्ठ १८६]

APPEARS IN

सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 11 TN Board
पाठ 4 Combinatorics and Mathematical Induction
Exercise 4.3 | Q 11. (ii) | पृष्ठ १८६

संबंधित प्रश्‍न

In how many ways can a cricket team of 11 players be chosen out of a batch of 15 players?

  1. There is no restriction on the selection.
  2. A particular player is always chosen.
  3. A particular player is never chosen.

How many code symbols can be formed using 5 out of 6 letters A, B, C, D, E, F so that the letters

  1. cannot be repeated
  2. can be repeated
  3. cannot be repeated but must begin with E
  4. cannot be repeated but end with CAB.

The number of ways selecting 4 players out of 5 is


The number of 3 letter words that can be formed from the letters of the word ‘NUMBER’ when the repetition is allowed are:


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


If `""^15"C"_(2"r" - 1) = ""^15"C"_(2"r" + 4)`, find r


If nPr = 720 and nCr = 120, find n, r


How many chords can be drawn through 20 points on a circle?


Find the total number of subsets of a set with
[Hint: nC0 + nC1 + nC2 + ... + nCn = 2n] 5 elements


How many ways a committee of six persons from 10 persons can be chosen along with a chair person and a secretary?


There are 5 teachers and 20 students. Out of them a committee of 2 teachers 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 teacher is included?


In an examination a student has to answer 5 questions, out of 9 questions in which 2 are compulsory. In how many ways a student can answer the questions?


A committee of 7 peoples has to be formed from 8 men and 4 women. In how many ways can this be done when the committee consists of exactly 3 women?


7 relatives of a man comprises 4 ladies and 3 gentlemen, his wife also has 7 relatives; 3 of them are ladies and 4 gentlemen. In how many ways can they invite a dinner party of 3 ladies and 3 gentlemen so that there are 3 of man’s relative and 3 of the wife’ s relatives?


Choose the correct alternative:
If 10 lines are drawn in a plane such that no two of them are parallel and no three are concurrent, then the total number of points of intersection are


Choose the correct alternative:
In a plane there are 10 points are there out of which 4 points are collinear, then the number of triangles formed is


Choose the correct alternative:
The number of rectangles that a chessboard has ______


Choose the correct alternative:
The product of first n odd natural numbers equals


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×