A person has 4 coins each of different denomination

Asked by admin @ 23/08/2021 in Math viewed by 304 People

A person has 4 coins each of different denomination. What is the number of different sums of money the person can form (using one or more coins at a time

Answered by admin @ 23/08/2021

Answer:

Number of different sums of money that can person form is 15.

Step-by-step explanation:

Given : A person has 4 coins each of different denomination.

To find : What is the number of different sums of money the person can form?

Solution :

A person has 4 coins each of different denomination.

Selecting 1 coin out of 4 coins gives $^4C_1$ possible ways.

Selecting 2 coin out of 4 coins gives $^4C_2$ possible ways.

Selecting 3 coin out of 4 coins gives $^4C_3$ possible ways.

Selecting 4 coin out of 4 coins gives $^4C_4$ possible ways.

Total number of different sums of money that can person form is

$T=^4C_1+^4C_2+^4C_3+^4C_4$

$T=4+6+4+1$

$T=15$

Therefore, Number of different sums of money that can person form is 15.

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