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

A total of 15 should 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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