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We have to choose 11 players for a crick...

We have to choose 11 players for a cricket team from 8 batman , 6 bowlers , 4 all rounders and 2 wicket keepers in the following conditions .
The number of selections when almost one all rounder and one wicket keeper will play -

A

`""^(4)C_(1).""^(14)C_(10)+""^(2)C_(1).""^(14)C_(10)+""^(4)C_(1).""^(2)C_(1).""^(14)C_(9)+""^(14)C_(11)`

B

`""^(4)C_(1).""^(15)C_(11)+""^(15)C_(11)`

C

`""^(4)C_(1).""^(15)C_(10)+""^(15)C_(11)`

D

none of these

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • We have to choose 11 players for cricket team from 8 batsman, 6 bowlers, 4 allrounders and 2 wicketkeepers, in the following conditions Number of selections when a particular batsman and a particular wicketkeeper don't want to play together

    A
    `2""^(18)C_(10)`
    B
    `""^(19)C_(11)+""^(18)C_(10)`
    C
    `""^(19)C_(10)+""^(19)C_(11)`
    D
    none of these

  • If a cricket team of 11 players is to be selected from 8 batsman, 6 bowlers, 4 all rounder and 2 wicket keepers, then The numbr of selections when atmost 1 all rounder and 1 wicket keeper will play is

    A
    `.^(4)C_(1).^(14)C_(10)+.^(2)C_(1).^(14)C_(10)+.^(4)C_(1) .^(2)C_(1).^(14)C_(9)+.^(14)C_(11)`
    B
    `.^(4)C_(1).^(14)C_(11)+.^(15)C_(11)`
    C
    `.^(4)C_(1).^(15)C_(10)+.^(15)C_(11)`
    D
    None of these

  • If a cricket team of 11 players is to be selected from 8 batsman, 6 bowlers, 4 all rounder and 2 wicket keepers, then Number of selection when 2 particular batsmen don't want to play when a particular bowler will play is

    A
    `.^(17)C_(10)+.^(19)C_(11)`
    B
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    C
    `.^(17)C_(10)+.^(20)C_(11)`
    D
    `.^(19)C_(10)+.^(19)C_(11)`

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