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Question

Varun has 10cards with numbers 1to 10. In how many ways can a total of 15be made using only three cards at a time?


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Solution

A total of 15should be made using only three cards at a time, which means no repetition is allowed.
(1,4,10)=3!(2,4,9)=3!(2,5,8)=3!(2,6,7)=3!(3,2,10)=3!(3,4,8)=3!(3,5,7)=3!(4,5,6)=3!
Thus, the total number of possible group of cards =8×3!=8×6=48


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