How many different integers can be expressed as the sum of three distinct numbers from the set {3, 8, 13, 18, 23, 28, 33, 38, 43, 48}?
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We need to use a formula first, which is n! / n-r ! x r! Here n is 10 and r is 3. Based on this. the answer would be 10 c 3.
That goes to 10 ! / 7 ! x 3 !. Solving this the final answer comes to 120
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