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An investor would like to invest $60,000 in 2 stocks from a list of 6 suggested by a broker. How many investments of $30,000 each are possible?

Answer :

15 is exact answer because in combination or does not matter

Answer:

Total 15 ways are possible to select two investments of $30,000 each.

Step-by-step explanation:

An investor would like to invest $60,000 in 2 stocks from a list of 6.

Amount of each investments is $30,000.

If we need to select r its from n items, then

[tex]^nC_r=\frac{n!}{r!(n-r)!}[/tex]

We have to select 2 stocks from 6.

[tex]^6C_2=\frac{6!}{2!(6-2)!}[/tex]

[tex]^6C_2=\frac{6!}{2!4!}[/tex]

[tex]^6C_2=\frac{6\times 5\times 4!}{2\times 1\times 4!}[/tex]

[tex]^6C_2=15[/tex]

Therefore, total 15 ways are possible to select two investments of $30,000 each.

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