Question

A box contain a hundred rupee note a ten rupee note a five rupee noteand four different coins . How many different amounts can be drawn from it

Answer 1

Answer:

7 different amounts can be drawn from it

Answer 2

The number of different amounts can be drawn from it is 7 .

Explanation:

Given : A box contain a hundred rupee note a ten rupee note a five rupee note and four different coins .

Total denominations = 7

Since all denominations different from each other.

If we use individually , then total amounts can be drawn = 7

If we use in pair of 2 , then total amounts can be drawn  =$^7C_2=\dfrac{7!}{(7-2)!2!}=21$

If we use in group of 3 , then total amounts can be drawn  =$^7C_3=\dfrac{7!}{(7-3)!3!}=35$

If we use in group of 4 , then total amounts can be drawn  =$^7C_4=\dfrac{7!}{(7-4)!4!}=35$

If we use in group of 5 , then total amounts can be drawn  =$^7C_5=\dfrac{7!}{(7-5)!5!}=21$

If we use in group of 6 , then total amounts can be drawn  =$^7C_6=\dfrac{7!}{(7-6)!6!}=7$

If we use in group of 7 , then total amounts can be drawn  =$^7C_7=\dfrac{7!}{(7-7)!7!}=1$

Then, the number of different amounts can be drawn from it =

7+21+35+35+21+7+1= 127

Hence, the number of different amounts can be drawn from it is 7 .

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