Answer:
Explanation:
Given :-
Total number of flags hung in a vertical line = 8
white flags = 2 .
Red flags = 3 .
Blue flags = 3 .
To Find :-
How many different signals can be made ?
Solution :-
→ Total different signals made = (Total number of flags hung)! / [(white flags)! * (Red flags)! * (Blue flags)!]
putting given values we get,
→ Total different signals made = 8!/(2! * 3! * 3!)
→ Total different signals made = (8 * 7 * 6 * 5 * 4 * 3!) / (2! * 3! * 3!)
→ Total different signals made = (8 * 7 * 6 * 5 * 4) / (2 * 3 * 2)
→ Total different signals made = (8 * 7 * 6 * 5 * 4) / (6 * 2)
→ Total different signals made = (8 * 7 * 5 * 4) / 2
→ Total different signals made = 8 * 7 * 5 * 2
→ Total different signals made = 560 (Ans.)