Choose A Cricket Team For ACC...

There are about 10 10 batsmens, 7 7 bowlers, 3 3 wicket keepers in the Sri Lankan cricket team. How many different ways are there to choose a team of 15 15 consisting of 7 7 batsmens, 6 6 bowlers and 2 2 wicket keepers from the Sri Lankan cricket team for participating for the Asian Cricket Cup?


The answer is 2520.

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23 solutions

Arijit Banerjee
Feb 26, 2014

from 10 batsmen number ways of choosing 7 batsmen is 10C7 then from 7 bowlers number of ways of choosing 6 bowlers is 7C6 and from 3 Wk no. of ways of choosing 2 is 3C2. hence the answer is (10C7) (7C6) (3C2)=2520

BASING ON WHICH PRINCIPLE? WE HAVE TO MULTIPLY THOSE.....

Rajesh Ch - 7 years, 3 months ago

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fundamental principle of multiplication

Krishy Arata - 7 years, 3 months ago

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In reply to Rajesh Ch basis on depended(multiply) & Independed(addition) Cases.

Rht Mmgn - 7 years, 1 month ago

n!/(n-r)!*r! ... for details refer wikipedia or your text book!

Arijit Banerjee - 7 years, 3 months ago

what does 10c7 mean ?

Erlangga Doank - 7 years, 3 months ago

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c implies combination 10C7 means that selecting 7 out of 10

Rajesh Ch - 7 years, 3 months ago

selection of 7 batsmens from 10. it is given by fact(10)/(fact(7)*fact(10-7))

Sharath D'sher - 7 years, 1 month ago

What does C refer to?

A Former Brilliant Member - 7 years, 3 months ago

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c for combination

Amira Zohair - 7 years, 3 months ago

nCr= n!/r!(n-r)!

Archit Murkunde - 7 years, 3 months ago

c for combination

Lodine Wise - 7 years, 3 months ago

whats the formula of nCr?

ramesh kumar - 7 years, 3 months ago

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ncr=n!/(n-r)!*r!

Ravi Bendi - 7 years, 3 months ago

10C7 X 7C6 X 3C2 = 2520

Bharat Soni - 7 years, 3 months ago

10C7 X 7C6 X 3C2 = 2520

Ravi Bendi - 7 years, 3 months ago

2520

Rajesh Ch - 7 years, 3 months ago

2520

Alex Varghese - 7 years, 3 months ago

i press the calculator wrongly....i have done the operation.hahah

iman firdaus - 7 years, 3 months ago

How did you multiply that?

Anirudha Seetharaman - 7 years, 2 months ago

Are the wicket keepers batsmen?

Arghyanil Dey - 7 years, 2 months ago

Wicket keepers are 't the batsmen

Arghyanil Dey - 7 years, 2 months ago

10c7 7c6 3c2

Sharath D'sher - 7 years, 1 month ago

but how can u say so? a wicketkeeper can be a batsman as well; that means 3c2 7c6 7(10-3)c5(7-2)=441?

Vardaan Mongia - 7 years, 2 months ago

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It should be mentioned.

Arghyanil Dey - 7 years, 2 months ago
Anand Raj
Feb 25, 2014

The Answer is C(10,7) x C(7,6) x C(3,2)

= 120 x 7 x 2

= 2520

Mietantei Conan
Mar 5, 2014

From 10 10 batsmen we have to chose 7 7 which is 10 C 7 10C7 . Similarly for bowler and wicket keeper we get 7 C 6 7C6 and 3 C 2 3C2 respectively. Hence,the answer is their product 10 C 7 × 7 C 6 × 3 C 2 = 120 × 7 × 3 = 2520 10C7×7C6×3C2=120×7×3=2520 .

10C7 7C6 3C2

Gautam Singh
Apr 8, 2014

Simple Combinatorics problem: 10C7 * 7C6 * 3C2 = 10C3 * 7C1 * 3C1 = (10 9 8)/(3*2) * 7 *3 = 2520

(10!÷3!÷7!)(7!÷6!)(3!÷2!) =2520 ans

Aravind Raj
Mar 29, 2014

10C7 X 7C6 X 3C2 = 2520

Likhil Wankhede
Mar 27, 2014

Selecting 7 batsman from 10 means 10C7, selecting 6 bowler from 7 means 7C6 and selecting 2 w. keepers from 3 means 3C2..... Now combining them i.e. (10C7)(7C6)(3C2)=2520

Bhavesh Bhagde
Mar 16, 2014

10C7 7C6 3C2

7 Batsmen can be chosen from 10 in 10C7 ways,6 bowlers can be chosen from 7 in 7C6 ways,similarly 2 wicket keepers can be chosen from 3 in 3C2 ways , Since all of them are required to form a team the no. of ways is given by 10C7 * 7C6 * 3C2 which gives 2520.

Vivek Singh
Mar 12, 2014

1]. for selection of 7 batsman out of 10 no. of ways = 10C7

2]. for selection of 6 bowlers out of 7, no. of ways = 7C6

3]. for selection of 2 wicket keepers out of 3, no. of ways = 3C2

Total no. of ways = 10C7 X 7C6 X 3C2 = 2520

Varun Yadav
Mar 11, 2014

Very Simple 10C7 * 7C6 * 3C2 = 2520

Vineetha O K
Mar 11, 2014

The number of ways we can select 7 batsmen out of 10 is 10C7. similarly for selecting 6 out of 7 bowles is 7C6 and selecting 2 out of 3 wicket keepers is 3C2. Therefore the team can selected by total 2520 ways (10C7 * 7C6 * 3C2).

Rajesh Ch
Mar 11, 2014

we can choose 7 out of 10 bats men in 10C7 ways and 6 out of 7 bowlers in 7C6 ways and then we can choose 2 out of 3 wicket keepers in 3C2 ways totally from fundemental principle of multiplication answer is 10C7 7C6 3C2=2520

Sandesh Gharge
Mar 9, 2014

Simple permutation and combination problem.(10C7)(7C6)(3C2)=2520

Yasir Naeem
Mar 9, 2014

A combination of n objects taken r at a time is a selection which does not take into account the arrangement of the objects. That is, the order is not important.

formaula : NcR = n!/r!(n-r)!

10c7 * 7c6 * 3c2 = 2520

Vaishnavi G
Mar 9, 2014

10C7 X 7C1 X 3C1 = 2520

Ephraim Raj
Mar 7, 2014

use the formula n!/r!(n-r)! for batting,bowling and wiki(n is the total no and r is the no which we can choose)now multiply the results....120 7 33...if you are a beginner or searching for formulas and the concept on combinations and permutations visit the - http://www.mathsisfun.com/combinatorics/combinations-permutations.html

Saumitra Paira
Mar 7, 2014

selecting 7 batsman = 10 C 7 selecting 6 bowlers = 7 C 6 selecting 2 wicket keepers = 3 C 2 so we get by multiplying all = 2520

Vivek Aravind
Mar 5, 2014

nCr=nC(n-r). So 10C3 * 7C1 * 3c2 = 2520

Ajay Gupta
Mar 5, 2014

(10c7)(7c6)(3c2)

Amer Iliyas
Mar 5, 2014

10!/(7! * 3!) * 7!/6! * 3!/2! =2520......

Leo Prakash
Mar 4, 2014

C(10,7) x C(7,6) x C(3,2)

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