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

Step-by-step solution

Considering fruit of same kind to be identical. Now, if there are p identical things of 1^ st kind, q identical of 2^ nd kind and r identical of 3^ rd kind then total number of ways of selecting any number of objects are ( p +1)( q +1)( r +1) in above given case Total number of ways =(4+1)(5+1)(7+1)=240 But there is one case in which 0 oranges, 0 apples and 0 mangoes are selected total no. of ways of selecting atleast one fruit =240-1=239 .