Advertisements
Advertisements
प्रश्न
A Kabaddi coach has 14 players ready to play. How many different teams of 7 players could the coach put on the court?
Advertisements
उत्तर
Number of kabaddi players = 14
7 players must be selected from 14 players
Number of ways of selecting 7 players from 14 players is
= 14C7
= `(14!)/(7!(14 - 7)!)`
= `(14!)/(7!7!)`
= `(14 xx 13 xx 12 xx 1 xx 10 xx 9 xx 8 xx 7!)/(7! xx 7 xx 6xx 5 xx 4 xx 3 xx 2 xx 1)`
= `(14 xx 13 xx 12 xx11 xx 10 xx 9 xx 8)/(7 xx 6 xx 5 xx 4 xx 3 xx 2 xx 1)`
= 13 × 11 × 4 × 3 × 2
= 3432
APPEARS IN
संबंधित प्रश्न
How many triangles can be formed by joining the vertices of a hexagon?
If four dice are rolled, find the number of possible outcomes in which atleast one die shows 2.
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.
A committee of 5 is to be formed out of 6 gents and 4 ladies. In how many ways this can be done when
- atleast two ladies are included.
- atmost two ladies are included.
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.
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 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:
Prove that 15C3 + 2 × 15C4 + 15C5 = 17C5
Prove that `""^35"C"_5 + sum_("r" = 0)^4 ""^((39 - "r"))"C"_4` = 40C5
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?
Find the total number of subsets of a set with
[Hint: nC0 + nC1 + nC2 + ... + nCn = 2n] 5 elements
How many different selections of 5 books can be made from 12 different books if, Two particular books are always selected?
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?
Find the number of ways of forming a committee of 5 members out of 7 Indians and 5 Americans, so that always Indians will be the majority in the committee
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:
The number of ways of choosing 5 cards out of a deck of 52 cards which include at least one king is
