Answer:
<u>720</u> possible PIN can be generated.
Explanation:
To calculate different number of orders of digits to create password and PIN, we calculate permutation.
Permutation is a term that means the number of methods or ways in which different numbers, alphabets, characters and objects can arranged or organized. To calculate the permutation following formula will be used:
nPr = n!/(n-r)!
there P is permutation, n is number of digits that need to be organize, r is the size of subset (Number of digits a password contains)
So in question we need to calculate
P=?
where
n= 10 (0-9 means total 10 digits)
r= 3 (PIN Consist of three digits)
So by using formula
10P3 = 10!/(10-3)!
=10!/7!
= 10x9x8x7!/7!
= 10x9x8
= 720
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Hope I could help! :)
Zebulon Pike, the U.S. Army officer who in 1805 led an exploring party in search of the source of the Mississippi River, sets off with a new expedition to explore the American Southwest. Pike was instructed to seek out headwaters of the Arkansas and Red rivers and to investigate Spanish settlements in New Mexico.
If this is a true or false question the answer is true.