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math equation for possible combinations. 161514 321 3360 6 560. The number of combinations is the number of ways to arrange the people on the chairs when the order does not matter.
This is because these can be used to count the number of possible combinations in a given situation. Displaystyle Cleft nrright C n r. 161514 321 3360 6 560.
So some of the permutations would be ABC ACB BAC BCA CAB and CBA.
And out of these to select k the number of different combinations possible is denoted by the symbol nCk. Then a comma and a list of items separated by commas. Its just a standard notation used for combinations but you might also see something like nCr used instead. The whole rearrangement group is formed by letting the transposition operation isomorphic to C2 act on two copies of that group one for the row permutations and one for the column permutations.