Question

How many different signals can be made from 8 flags hung in a vertical line, using 2 identical white flags, 3 identical red flags, and 3 identical blue flags?

Answer 1

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.)

Learn more :-

let a and b positive integers such that 90 less than a+b less than 99 and 0.9 less than a/b less than 0.91. Find ab/46

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