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If .^(10)P(r) =5040 , find the value of...

If `.^(10)P_(r)` =5040 , find the value of r

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To solve the problem where \( ^{10}P_r = 5040 \), we will follow these steps: ### Step 1: Understand the formula for permutations The formula for permutations is given by: \[ ^nP_r = \frac{n!}{(n-r)!} \] In our case, \( n = 10 \) and we need to find \( r \). ...
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Knowledge Check

  • If (18)/(r+10)=(3)/(r) , what is the value of (r)/(3) ?

    A
    `(2)/(3)`
    B
    `(3)/(2)`
    C
    `2`
    D
    `3`

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