$P, Q, R$ and $S$ have to give lectures to an audience. The organiser can arrange the order of their presentation in ?

$4$ ways

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$12$ ways

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$256$ ways

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$24$ ways

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Solution

The correct option is D
$24$ ways

Explanation for the correct option:
Finding the ways to arrange four people:
It is given that four people $P, Q, R$ and $S$ have to deliver lectures.
Use permutation to arrange the order of lecturing.
$\begin{array}{rcl} n & = & 4! \\ = & 4 \times 3 \times 2 \times 1 \\ = & 24 \end{array}$
So, there are $24$ ways of arranging the four people $P, Q, R$ and $S$ for delivering lectures.
Hence, option (D) is correct .

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P,Q,R and S have to give lectures to an audience. the organizer can arrange the order of their presentation in :a) 4 ways b)12 ways c)256 ways d)24 ways

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P,Q,R and S have to give lectures to an audience. The organiser can arrange the order of their presentation in ?

$P, Q, R$ and $S$ have to give lectures to an audience. The organiser can arrange the order of their presentation in ?