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Elena-2011 [213]
2 years ago
13

Jim wants to make a 4 letter password. He cannot repeat any letters in his password.How many combinations can he make

Mathematics
2 answers:
9966 [12]2 years ago
8 0

My previous answer was incorrect, sorry for that... the correct answer would be 358,800

Andreas93 [3]2 years ago
3 0

\huge\text{Hey there!}

\large\text{He has 26 letters all together (A  - Z)}

\large\text{25 if he  starts  from his  second letter (B - Z)}

\large\text{24 if he starts from his third letter (C - Z)}

\large\text{ 23 if he starts from his fourth letter (D - Z)}

\mathsf{26\times25\times24\times23}

\mathsf{26\times 25 = \bf 650}

\mathsf{650\times24\times23}

\mathsf{650\times24 = \bf 15,600}

\mathsf{15,600\times 23}

\mathsf{  =\bf  358,800}

\boxed{\boxed{\large\text{Answer: \huge \bf 358,800}}}\huge\checkmark

\text{Good luck on your assignment and enjoy your day!}

~\frak{Amphitrite1040:)}

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1)\quad f(x)=\bigg\{\begin{array}{ll}12x&0\leq x

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3) R: y = [0, 384]

4) see graph

<u>Step-by-step explanation:</u>

Eric's regular wage is $12 per hour for all hours less than 9 hours.

The minimum number of hours Eric can work each day is 0.

f(x) = 12x    for   0 ≤ x < 9

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The daily wage where x represents the number of hours worked can be displayed in function format as follows:

f(x)=\bigg\{\begin{array}{ll}12x&0\leq x

2) Domain represents the x-values (number of hours Eric can work).

The minimum hours he can work in one day is 0 and the maximum he can work in one day is 24.

D:  0 ≤ x ≤ 24        →        D: x = [0, 24]

3) Range represents the y-values (wage Eric will earn).

Eric's wage depends on the number of hours he works. Use the Domain (given above) to find the wage.

The minimum hours he can work in one day is 0.

f(x) = 12x

f(0) = 12(0)

     =  0

The maximum hours he can work in one day is 24 <em>(although unlikely, it is theoretically possible).</em>

f(x) = 18x - 48

f(24) = 18(24) - 48

       = 432 - 48

       = 384

D:  0 ≤ y ≤ 384        →        D: x = [0, 384]

4) see graph.

Notice that there is an open dot at x = 9 for f(x) = 12x

and a closed dot at x = 9 for f(x) = 18x - 48

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