Answer :
Given:-
[tex]INNOVATIVE[/tex]To find the number of permutations that can be formed using 4 letters at a time.
Since there are 10 letters and using 4 letters form permutation.
So now we use the formula,
[tex]10p_4[/tex]So now we simplify. so we get,
[tex]10p_4=\frac{10!}{(10-6)!}=\frac{10!}{4!}=\frac{10\times9\times8\times7\times6\times5\times4\times3\times2\times1}{1\times2\times3\times4}[/tex]So now we simplify,
[tex]\frac{10\times9\times8\times7\times6\times5\times4\times3\times2\times1}{1\times2\times3\times4}=10\times9\times8\times7\times6\times5[/tex]So now we get,
[tex]10\times9\times8\times7\times6\times5=151200[/tex]So now we get the solution as 151200