16 The Assume the flight director has the following possible fly on a shuttle fl

Question

16 The Assume the flight director has the following possible fly on a shuttle flight. pace Shuttle was designed to carry from 1 to 7 people as its crew. astronauts available to Class1 GenderMale Rookie Female Total Experienced Total 8 13 17 28 15 (a) How many total 7 person crews (b) Ho (c) How many unique 7 can be chosen? w many total 5 person crews can be chosen? person crews can be chosen? w many unique 5 person crews can be chosen? e) How many unique 7 person crews can be chosen IF the crew must have 4 men and 3 women? (D How many unique 7 person crews can be chosen IF the crew must have 5 experienced and 2 rookie crew members? (g) How many unique 7 person crews can be chosen IF the crew must have 2 experienced males, 2 rookie males, 2 experienced females, and 1 rookie female?

Explanation / Answer

a)
7 persons from a group of 28 can be selected in 28C7 = 1184040 ways

b)
5 persons from a group of 28 can be selected in 28C5 = 98280 ways

c)
7 persons from a group of 28 can be selected in 28C7 = 1184040 ways

d)
5 persons from a group of 28 can be selected in 28C5 = 98280 ways

e)
4 men can be selected in 15C4
3 women can be selected in 13C3

Hence possible crews are 15C4*13C3 = 390390

f)
5 experencied can be selected in 17C5
2 rookies can be selected in 11C2

Hence possible crews are 17C5*11C2 = 340340

g)
2 experience male can be selected in 9C2
2 rookie males can be selected in 6C2
2 experience females can be selected in 8C2
1 rookie female can be selected in 5C1

Hence possible crews are 8C2*6C2*8C2*5C1 = 58800

Related Questions

Navigate

• Browse (All)
• Browse 1
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.