Question

How many different 4-person teams can be made from a group of 9 players?

Answer 1

Are you familiar with nCr (combinations) ?

Answer 2

are you saying about 9C4...

Answer 3

Yes !

Answer 4

This calculator would make it easier, I guess.

http://www.calculatorsoup.com/calculators/discretemathematics/combinations.php

Answer 5

hmmm let me try by this too

Answer 6

sure ;)

Answer 7

9! / (4!(9 - 4)!)... = 9!/4!(5!)... =9*8*7*6*5*4*3*2*1/9*8*7*6*5*4*3*2*1(5*4*3*2*1)... it comes 120 from this.... what i did wrong... please rectify it...

Answer 8

\(\LARGE\color{blue}{ \sf \frac{9!}{4! (9 - 4) !} }\)


\(\LARGE\color{blue}{ \sf \frac{9!}{4!5!} }\)


\(\LARGE\color{blue}{ \sf \frac{1\times 2 \times 3\times 4\times 5\times 6\times 7\times 8\times 9}{4!5!} }\)


\(\LARGE\color{blue}{ \sf \frac{1\times 2 \times 3\times 4\times 5\times 6\times 7\times 8\times 9}{(1\times 2 \times 3\times 4\times 5)\times(1\times 2 \times 3\times 4)} }\)


\(\LARGE\color{blue}{ \sf \frac{6\times 7\times 8\times 9}{1\times 2 \times 3\times 4} }\)


\(\LARGE\color{blue}{ \sf \frac{3024}{24} }\)


\(\LARGE\color{blue}{ \sf 126 }\)

Answer 9

ahh bundle of thanks....

Answer 10

You welcome !