Question 1132666
i believe it's going to be 7 factorial ways.
that would be 7 * 6 * 5 * 4 * 3 * 2 * 1 ways.


consider 3 beads.


that would be 3 factorial ways = 3 * 2 * 1 = 6 ways.


label the beads a,b,c.


the 6 ways would be abc, acb, bac, bca, cab, cba.


4 beads would be 4 * 3 factorial = 4 * 6t = 24 ways.


5 beads would be 5 * 4 factorial = 5 * 24 = 120 ways.


6 beads would be 6 * 5 factorial = 6 * 120 = 720 ways.


7 beads would be 7 * 6 factorial = 7 * 720 = 5040 ways.


the factorial symbol is !.


7 factorial would be shown as 7!.