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List all $3$-permutations of $\{1, 2, 3, 4, 5\}.$
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we have to find out the nos of ways we can arrange all these five distinct integer taking 3 at a time.

It is equivent to fill three blanks with these five integers.

First blank we can fill by five ways by putting any of these five distinct integer.

and filling the first blank,the second blank we can fill in 4 ways by the remaining four distinct integer

and after filling the both first and second blanks the ,third blank can be filled by the remaining integr in 3 ways .hence the complete filling can be done by 5*4*3=60 ways

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