Advertisements
Advertisements
प्रश्न
A trust has 25 members. In how many ways can a President, Vice President and a Secretary be selected?
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
APPEARS IN
संबंधित प्रश्न
In how many ways can a cricket team of 11 players be chosen out of a batch of 15 players?
- There is no restriction on the selection.
- A particular player is always chosen.
- 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
- cannot be repeated
- can be repeated
- cannot be repeated but must begin with E
- 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