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The number of ways in which 6 '+' and 4 '-' signs can be arran

Question

The number of ways in which 6 '+' and 4 '-' signs can be arranged in a line such that no two '-'signs come together is

35

120

720

610

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The number of ways in which 6 '+' and 4 '-' signs can be arranged in a line such that no two '-'signs come together is

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Text solutionVerified

6 '+' signs can be arranged among themselves in 1 ways.

Now, 4 '-' signs can be arranged between them in

^{7} C_{4}

ways

∴

Total number of ways

= 1 \times^{7} C_{4} = 35

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Question Text	The number of ways in which 6 '+' and 4 '-' signs can be arranged in a line such that no two '-'signs come together is
Answer Type	Text solution:1
Upvotes	150