Although there are definitely times when deciding which specific solution is needed is not only wise but necessary there are also times when a multi-pronged approach is beneficial. For example, when solving how to get to work in the shortest amount of time requires only one solution deciding how to maximize your chances of finding work you might want to adopt several strategies as listed in this weeks series post.
If you do decide to adopt a multi-pronged approach it is important to recognize why this will benefit you. Does it strengthen the likelihood of solving your problem? Are there diminishing returns with the number of complimentary strategies you adopt?