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  • A tailor has to choose 6 cut pieces from 11 cut pieces. In how many ways can the tailor choose them?Option: 1 382<d

A tailor has to choose 6 cut pieces from 11 cut pieces. In how many ways can the tailor choose them?

Option: 1

382


Option: 2

252


Option: 3

462

 


Option: 4

525


Answers (1)

best_answer

A tailor has to choose 6 out of 11 cut pieces.

So, he can choose it in { }^{11} C_6  ways.

Thus,

{ }^{11} C_6=\frac{11 !}{6 !(11-6) !}

{ }^{11} C_6=\frac{11 !}{6 ! 5 !}

{ }^{11} C_6=\frac{11 \times 10 \times 9 \times 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2}{6 \times 5 \times 4 \times 3 \times 2 \times 5 \times 4 \times 3 \times 2}\\

{ }^{11} C_6=462

 Therefore, the number of ways the tailor chooses the cut pieces is 462 ways.

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manish

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