there are 8 executives , including the ceo and cfo , that are asked to form a small team of 4 members . however , the ceo and cfo may not both be assigned to the team . given this constraint , how many ways are there to form the team ?
"the total number of ways to form a team of 4 is 8 c 4 = 70 . we need to subtract the number of teams that have both the ceo and the cfo . the number of teams with both the ceo and cfo is 6 c 2 = 15 . the number of ways to form an acceptable team is 70 - 15 = 55 . the answer is b ."
subtract(factorial(subtract(8, 4)), add(multiply(4, const_3), const_3))