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The value of sum(r=0)^(10)r^(10)Cr3^r(-2...

The value of `sum_(r=0)^(10)r^(10)C_r3^r(-2)^(10-r)` is `20` b. `10` c. `300` d. `30`

A

10

B

20

C

30

D

300

Text Solution

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The correct Answer is:
c
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Knowledge Check

  • sum_(r=0)^(10) r.^(10)C_(r),3^(r).(-2)^(10-r) is -

    A
    20
    B
    10
    C
    30
    D
    300

  • The value of sum_(r=2)^(10) ""^(r)C_(2).""^(10)C_(r) is

    A
    `10460`
    B
    `11240`
    C
    `11520`
    D
    `12640`

  • The value of sum_(r=0)^(40) r""^(40)C_(r)""^(30)C_(r) is

    A
    `40.^(69)C_(29)`
    B
    `40.^(70)C_(30)`
    C
    `.^(60)C_(29)`
    D
    `.^(70)C_(30)`

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