A person can order a new car with a choice of 13possible colors, with or without air conditioning, with or without heated seats, with or without anti-lock brakes, with or without power windows, and with or without Apple Play. In how many different ways can a new car be ordered in terms of these options?3.How many arrangements can be made using 4letters of the word PICTURESif no letter is to be used more than once?7. A signal can be formed by running different colored flags up a pole, one above the other. Find the number of different signals consisting of 8flags that can be made if 4of the flags are white, 3 are red, and 1 is blue.4.In how many ways can a committee of three men and four women be formed from a group of 8men and 9women?8. In how many ways can eightbooks be arranged on a shelf if the three mathbooks must be placed next to each other?