Archive
11th of April 2017
Mathematics
Q:


A cricket team consist of 11 players is to be chosen from 8 batsmen and 5 bowlers. In how many ways can the team be chosen so as to include at least 3 bowlers?


Arnav Mohanty - CBSE - Class XI Science

Tuesday, April 11, 2017 at 17:46:PM

A:

begin mathsize 16px style Given space that space 11 space players space is space to space be space chosen space from space 8 space batsman space and space 5 space bowler space such space as space at space least space 3 space bowlers space will space included.
This space means space we space can space have space 3 space bowlers space or space 4 space bowlers space or space 5 space bowlers.
We space will space make space cases space such space as comma
straight i right parenthesis space 3 space bowlers space and space 8 space batsmen
rightwards double arrow straight C presuperscript 5 subscript 3 cross times straight C presuperscript 8 subscript 8
ii right parenthesis space 4 space bowlers space and space 7 space batsmen
rightwards double arrow straight C presuperscript 5 subscript 4 cross times straight C presuperscript 8 subscript 7
iii right parenthesis space 5 space bowlers space and space 6 space batsmen
rightwards double arrow straight C presuperscript 5 subscript 5 cross times straight C presuperscript 8 subscript 6
Adding space these space three space we space get space required space answer comma
straight C presuperscript 5 subscript 3 cross times straight C presuperscript 8 subscript 8 plus straight C presuperscript 5 subscript 4 cross times straight C presuperscript 8 subscript 7 plus straight C presuperscript 5 subscript 5 cross times straight C presuperscript 8 subscript 6 equals 10 plus 5 cross times 8 plus 28 equals 10 plus 40 plus 28 equals 78
end style

Tuesday, April 11, 2017 at 17:55:PM