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Find the total number of ways in which six `'+'` and four `'-'` signs can be arranged in a line such that no two `'-'` signs occur together.

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To solve the problem of arranging six `'+'` signs and four `'-'` signs in such a way that no two `'-'` signs are adjacent, we can use the gap method. Here’s a step-by-step solution: ### Step 1: Identify the total signs We have a total of 6 `'+'` signs and 4 `'-'` signs. ### Step 2: Arrange the `'+'` signs First, we will arrange the 6 `'+'` signs. The arrangement of these signs creates gaps where we can place the `'-'` signs. ...
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