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CBSE Class 11-science Answered

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?
Asked by arnavmohanty1999 | 11 Apr, 2017, 05:46: PM
answered-by-expert Expert Answer

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

Answered by | 11 Apr, 2017, 05:55: PM

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