Answer: 10
Step-by-step explanation:
Given : Jason has five coins in his pocket: a penny, a nickel, a dime, a quarter, and a half-dollar.
Since each coin has different value from others.
So the combination of any 3 coin will give a different amount.
We know that the combination of r things out of n things = [tex]^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]
Therefore , the combination of 3 coins out of 5 = [tex]^5C_3=\dfrac{5!}{3!(5-3)!}=\dfrac{5\times4\times3!}{3!\times2!}=10[/tex]
Hence, the number of different sums of money can be formed using exactly three of the coins = 10
