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  • A ship is required to raise 7 flags at once (3 orange, 2 blue, and 2  green). How many flag combinations can be raised at once?  Option: 1</s

A ship is required to raise 7 flags at once (3 orange, 2 blue, and 2  green). How many flag combinations can be raised at once?

 

Option: 1

210


Option: 2

255


Option: 3

305


Option: 4

425


Answers (1)

best_answer

Given that,

A ship consists of 7 flags such as 3 orange, 2 blue, and 2  green color flags.

The total number of flags is n = 7.

The number of orange color flags is p = 3.

The number of blue color flags is q = 2.

The number of green color flags is r = 2.

The formula to find the permutation is given by,

\begin{aligned} &P R_n^{p, q, r}=\frac{n !}{p ! q ! r !}\\ &P R_7^{3,2,2}=\frac{7 !}{3 ! 2 ! 2 !}\\ &P R_7^{3,2,2}=\frac{7 \times 6 \times 5 \times 4 \times 3 \times 2}{3 \times 2 \times 2 \times 2} \end{aligned}

P R_7^{3,2,2}=210

Therefore, the total number of ways of flag combinations is 210.

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Gunjita

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