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
Verify that 8C4 + 8C3 = 9C4.
From 20 raffle tickets in a hat, four tickets are to be selected in order. The holder of the first ticket wins a car, the second a motor cycle, the third a bicycle and the fourth a skateboard. In how many different ways can these prizes be awarded?
In how many different ways, 2 Mathematics, 2 Economics and 2 History books can be selected from 9 Mathematics, 8 Economics and 7 History books?
Let there be 3 red, 2 yellow and 2 green signal flags. How many different signals are possible if we wish to make signals by arranging all of them vertically on a staff?
The number of ways selecting 4 players out of 5 is
The value of (5C0 + 5C1) + (5C1 + 5C2) + (5C2 + 5C3) + (5C3 + 5C4) + (5C4 + 5C5) is:
Thirteen guests have participated in a dinner. The number of handshakes that happened in the dinner is:
If `""^15"C"_(2"r" - 1) = ""^15"C"_(2"r" + 4)`, find r
Prove that 15C3 + 2 × 15C4 + 15C5 = 17C5
Prove that if 1 ≤ r ≤ n then `"n" xx ""^(("n" - 1))"C"_("r" - 1) = ""^(("n" - "r" + 1))"C"_("r" - 1)`
In a parking lot one hundred, one-year-old cars, are parked. Out of them five are to be chosen at random for to check its pollution devices. How many different set of five cars can be chosen?
How many ways a committee of six persons from 10 persons can be chosen along with a chair person and a secretary?
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?
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 at most 3 women?
There are 11 points in a plane. No three of these lies in the same straight line except 4 points, which are collinear. Find, the number of straight lines that can be obtained from the pairs of these points?
Choose the correct alternative:
Number of sides of a polygon having 44 diagonals is ______
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 product of first n odd natural numbers equals