Answers>Maths>IB>Article

A team of four is chosen from six married couples. If a husband and wife cannot both be on the team, in how many ways can the team be formed?

There are 12 choices for the first memebr, then 10 for the next (as it cannot be the spouse), then 8, then 6.Therefore there are 121086 permutations where partners aren't together.However, this counts every order as different. For every combination there are 4! orders, so the final answer is121086/4! = 240.

LC

Related Maths IB answers

All answers ▸

A scalene triangle has base of 5cm. The angle opposite to the base is 63°, and a second angle is 72°. Find the area of the traingle


How should I approach a proof by induction question?


When the polynomial 3x^3 +ax+ b is divided by x−2 , the remainder is 2, and when divided by x +1 , it is 5. Find the value of a and the value of b.


Simplify the following quadratic equation: 3x^2 + 20x - 500 = 0.