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To calculate the number of 5-number combinations from a pool of 1-26, we use the combination formula, which is nCr = n! / r!(n-r)!. In this case, n = 26 (numbers 1-26) and r = 5 (5-number combinations). Plugging these values into the formula, we get 26C5 = 26! / 5!(26-5)! = 26! / 5!21!. Simplifying this further, we get 2625242322 / 54321 = 65,780 different 5-number combinations.

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If the same number can't repeat, and the sequence doesn't matter,

as in, say just for an example, a lottery entry, then there are

26 x 25 x 24 x 23 x 22 / 5 x 4 x 3 x 2 = 65,780possibilities

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Wiki User

12y ago
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Q: How many 5-number combinations are there for numbers 1-26?
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