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Nishi has 5 coins, each of the different...

Nishi has 5 coins, each of the different denomination. Find the number different sums of money she can form.

Text Solution

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Number of different sums of money she can form is equal to number of ways she select one or more coins. Therefore, Required number of ways `= .^(5)C_(1)+ .^(4)C_(2)+ .^(5)C_(3)+ .^(5)C_(4)+ .^(5)C_(5)`
`=2^(5)-1=31`
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