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{:("Column A","For any positive integer ...

`{:("Column A","For any positive integer n, n! denotes the product of all the integer from 1 through n . And 1! = 1","ColumnB"),(1!(10 - 1)!,,2!(10-2)!):}`

A

If column A is larger

B

If column B is larger

C

If the columns are equal

D

If there is not enough information to decide

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • For any positive integer n, n! denotes the product of all integers from 1 through n, what is the value of 3! (7 - 2)! ?

    A
    `2!`
    B
    `3 !`
    C
    `5!`
    D
    `6!`

  • {:("Column A","n is a positive integer", "Column B"),(n,,"The sum of two integer whose product is n"):}

    A
    If column A is larger
    B
    If column B is larger
    C
    If the columns are equal
    D
    If there is not enough information to decide

  • {:("Column A","A function * is defined for all even positvie integer n as the number of even factors of n other than n itself","ColumnB"),("*"(48),,"*"(122)):}

    A
    If column A is larger
    B
    If column B is larger
    C
    If the columns are equal
    D
    If there is not enough information to decide

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    If n be a positive integer and P_n denotes the product of the binomial coefficients in the expansion of (1 +x)^n , prove that (P_(n+1))/P_n=(n+1)^n/(n!) .

    Find the least positive integer n such that ((2i)/(1+i))^n is a positive integer.

    Find the least positive integer n such that ((2i)/(1+i))^n is a positive integer.

    Find the least positive integer n such that ((2i)/(1+i))^n is a positive integer.

    {:("Column A", "n is a positive integer and 0 < x < 1","Column B"),((n^2)/x," ",n^2):}

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