When you open credit cards at a bank, you initiate a hard inquiry once you apply for credit. If you are approved for a credit card, this counts as a new account. Having too many hard inquiries and new accounts on your credit report lowers your credit score, so youll want to be judicious when you apply for additional lines of credit. Lets say youre interested in the following credit cards: Chase Sapphire Reserve Wells Fargo Propel Card American Express Blue Cash Everyday Citi Double Cash Card Chase Freedom National Card Bank of America Cash Rewards Visa American Express Platinum Answer the following questions below (show work as applicable, using factorial notation if necessary): Scenario 1: First imagine that you would like to apply for all of these credit cards right now. How many different ways could you apply for these cards? ____________ Scenario 2: Imagine you would like to apply for three of these credit cards. How many different ways could you apply for three credit cards out of this group, without taking order into account? _____________ Scenario 3: This one is going to be a little more challenging. Some companies, such as Chase, have strict underwriting guidelines. Chase will automatically reject any credit card application if youve opened at least five accounts in the past twenty-four months. Lets explore this scenario a bit further: Part A: Once again, imagine that you want to apply for three credit cards out of the eight above. However, you now want to take order into account. In Scenario 2, we did not care what order we applied for the group of three credit cards in this case, order does matter, because we may get declined depending on the order we apply for our new credit cards. Explain how to find the total number of ways to apply for these three cards, with respect to order, below: When you open credit cards at a bank, you initiate a hard inquiry once you apply for credit. If you are approved for a credit card, this counts as a new account. Having too many hard inquiries and new accounts on your credit report lowers your credit score, so youll want to be judicious when you apply for additional lines of credit. Lets say youre interested in the following credit cards: Chase Sapphire Reserve Wells Fargo Propel Card American Express Blue Cash Everyday Citi Double Cash Card Chase Freedom National Card Bank of America Cash Rewards Visa American Express Platinum Answer the following questions below (show work as applicable, using factorial notation if necessary): Scenario 1: First imagine that you would like to apply for all of these credit cards right now. How many different ways could you apply for these cards? ____________ Scenario 2: Imagine you would like to apply for three of these credit cards. How many different ways could you apply for three credit cards out of this group, without taking order into account? _____________ Scenario 3: This one is going to be a little more challenging. Some companies, such as Chase, have strict underwriting guidelines. Chase will automatically reject any credit card application if youve opened at least five accounts in the past twenty-four months. Lets explore this scenario a bit further: Part A: Once again, imagine that you want to apply for three credit cards out of the eight above. However, you now want to take order into account. In Scenario 2, we did not care what order we applied for the group of three credit cards in this case, order does matter, because we may get declined depending on the order we apply for our new credit cards. Explain how to find the total number of ways to apply for these three cards, with respect to order, below: