Let g be a simple group of order 168. (a) show that if p is a sylow 7-subgroup of g then the normalizer ng(p) of p has order 21. (b) show that g contains no subgroup of order 14.

Pranav and molly are selling pies for a school fundraiser. customers can buy blueberry pies and pumpkin pies. pranav sold 6 blueberry pies and 4 pumpkin pies for a total of $106. molly sold 6 blueberry pies and 3 pumpkin pies for a total of $90. find the cost of each of one blueberry pie and one pumpkin pie