Question

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 1

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

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

`^nC_r=(n!)/(r!(n-r)!)`

We have to select 2 stocks from 6.

`^6C_2=(6!)/(2!(6-2)!)`

`^6C_2=(6!)/(2!4!)`

`^6C_2=(6* 5* 4!)/(2* 1* 4!)`

`^6C_2=15`

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

Answer 2

15 is exact answer because in combination or does not matter