To find the number of combinations of 3 that can be made from 7 numbers, you can use the combination formula ( C(n, r) = \frac{n!}{r!(n-r)!} ). For this case, ( n = 7 ) and ( r = 3 ). Plugging in the values, ( C(7, 3) = \frac{7!}{3!(7-3)!} = \frac{7 \times 6 \times 5}{3 \times 2 \times 1} = 35 ). Therefore, there are 35 different combinations of 3 numbers that can be formed from 7 numbers.
None. You do not have enough numbers to make even one combination.
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If you are using three distinct numbers and want to find the number of different combinations that can be formed, you would consider the combinations of those numbers. For three numbers, the combinations can be represented as C(3, k) for k = 1 to 3. Thus, the total combinations are 3 (for k=1) + 3 (for k=2) + 1 (for k=3), resulting in a total of 7 unique combinations.
8C3 = 56 of them
There are 23C3 = 23!/(20!*3!) = 23*22*21/(3*2*1) = 1,771 combinations.
3! or 6 combinations can be made from three distinct numbers. For this example they are: 345, 354, 534, 543, 435, 453.
None. You do not have enough numbers to make even one combination.
Six combinations: 123, 132, 213, 231, 312, 321
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6 ways: 931,913,139,193,391,319
You can make 5 combinations of 1 number, 10 combinations of 2 numbers, 10 combinations of 3 numbers, 5 combinations of 4 numbers, and 1 combinations of 5 number. 31 in all.
If you are using three distinct numbers and want to find the number of different combinations that can be formed, you would consider the combinations of those numbers. For three numbers, the combinations can be represented as C(3, k) for k = 1 to 3. Thus, the total combinations are 3 (for k=1) + 3 (for k=2) + 1 (for k=3), resulting in a total of 7 unique combinations.
There are 32C3 = 32*31*30/(3*2*1) = 4960 combinations. I do not have the inclination to list them all.
8C3 = 56 of them
Only three: 12, 13 and 23. Remember that the combinations 12 and 21 are the same.
There are 23C3 = 23!/(20!*3!) = 23*22*21/(3*2*1) = 1,771 combinations.
137, 173, 317, 371, 713, 731 Six combinations can be made.