1.

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

Answer» 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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