Question

A person X has four notes of Rupee 1,2, 5 and 10 denomination. The number of different sums of money she can form from them is (b) 15 (d) 8 (a) 16 (C) 12​

Answer 1

Answer:

0

Step-by-step explanation:

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Answer 2

Answer:

Answer is (b) 15

Step-by-step explanation:

A person has to make different sum of money using these four different notes of different denominations.

So, the possible ways he could do this is by making the following combinations:

1 , 2 , 5, 10 , 1+ 2 , 1 + 5 , 1 +10 , 2 + 5 , 2 + 10 , 5 + 10 , 1 + 2 + 5 , 1 + 5 + 10 , 2 + 5 + 10 , 1 + 2 + 10 , 1 + 2 + 5 + 10

This means that there are total 15 cases.

∴ The number of different sums of money she can form from them is 15.

The total number ways of different sums of money she can form = (taking one at a time) + (taking two at a time) + (taking three at a time) + (taking four at a time)

⇒ ⁴C1 + ⁴C2 + ⁴C3 + ⁴C4

⇒ 4 + 6 + 4 + 1 = 15

∴ The number of different sums of money she can form from them is 15.