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balandron [24]
3 years ago
11

How many whole numbers less than 500 can be formed using the digits 1, 2, 4, and 5?

Mathematics
1 answer:
S_A_V [24]3 years ago
5 0
We do casework by the number of digits in the number.

One-digit numbers: 4 choices for the number.

Two-digit numbers: Four choices for the first digit, four for the second, for a total of 4*4=16 numbers.

Three-digit numbers: Five cannot be the first digit, since if that is the case we will have a number over 500, so we have three choices for the first digit and four for each of the others, for a total of 3*4*4=48 numbers.

This is a total of 4+16+48=68 numbers.
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Step-by-step explanation:

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A=P(1+i/n)^n, n=time \ in \ months\\\\=425(1+0.035/12)^{30\times 12}\\\\=1212.65

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A=P(1+i/n)^n, n=time \ in \ months\\\\=425(1+0.035/12)^{40\times 12}\\\\=1719.95

#We subtract to find how much more he would have if he started saving at 20;

=A_{20}-A_{30}\\\\=1719.95-1212.65\\\\=507.30

Hence, Saul would have $507.30 more had he started saving 10 years earlier.

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4 years ago
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