Question

You have bought 50 apples and 60 mangoes from the shop to be distributed among friends. Find the maximum number of friends to whom you can divide the fruits evenly. (Note: Draw factor trees for solution). ​

Answer 1

HERE IS YOUR ANSWER

Whenever it is not explicity mentioned that fruit and distint, We take them as identical. 0 or more orange can be selected from 4 identical oranges in (4+1)=5 ways. 0 or more apples can be selected from 5 identical apples in (5+1)=6 ways.

0 or more mangoes can be selected from 6 identical mangoes in 7 ways.

∴ Total no. of ways in which all of three types of fruits can be selected (the no. of any type of fruits may also be 0),

5×6×7=210,

But in these 20 selection, there is one selection where all fruits are 0, hence we reduce 1 selection.

∴ the required no. =210−1=209

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