There are 4 oranges,5 apples,and 7 mangoes in | vedclass

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(D) Considering fruits of the same kind to be identical.If there are $p$ identical items of the $1^{	ext{st}}$ kind,$q$ identical items of the $2^{

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$239$

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(D) Considering fruits of the same kind to be identical.If there are $p$ identical items of the $1^{	ext{st}}$ kind,$q$ identical items of the $2^{	ext{nd}}$ kind,and $r$ identical items of the $3^{	ext{rd}}$ kind,then the total number of ways of selecting any number of objects is given by $(p+1)(q+1)(r+1)$.In this case,$p=4$,$q=5$,and $r=7$.Total number of ways including the case of selecting zero fruits $= (4+1)(5+1)(7+1) = 5 	imes 6 	imes 8 = 240$.Since we must select at least one fruit,we exclude the case where $0$ oranges,$0$ apples,and $0$ mangoes are selected.Total number of ways of selecting at least one fruit $= 240 - 1 = 239$.

There are $4$ oranges,$5$ apples,and $7$ mangoes in a fruit basket. The number of ways of selecting at least one fruit from among the fruits in the basket is

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