33. Part A only In how many ways can components be selected if none is to be Son

Question

33. Part A only In how many ways can components be selected if none is to be Sony? In how many ways can a selection be made if at least one Sony component is to be included? If someone flips switches on the selection in a completely random fashion, what is the probability that the system selected contains at least one Sony component? Exactly one Sony component? Again consider a Little League team that has 15 players on its roster. How many ways are there to select 9 players for the starting lineup? How many ways are there to select 9 players for the starting lineup and a batting order for the 9 starters? Suppose 5 of the 15 players are left-handed. How many ways are there to select 3 left-handed outfielders and have all 6 other positions occupied by right-handed players? Computer keyboard failures can be attributed to electrical defect or mechanical defects. A repair facility currently has 25 failed keyboards, 6 of which have electrical defects and 19 of which have mechanical defects. How many ways are there to randomly select 5 of these keyboards for a thorough inspection (without regard to order)? In how many ways can a sample of 5 keyboards

Explanation / Answer

Solution:

answer:5005.

Expalnation:

first man to be picked you have 15 choices, then 14, then 13 - when you pick the 9 th man there are 7 choices left, so it is

15 x 14 x 13 .... x 7 = 15! / 6!

but once you've picked the team, the same team could have been picked in 9! different ways

15! / (6! 9!) = 5005

This is the problem of combinations

selecting 9 out of 15 can be done in

15C9=15!/(15-9)!9!

=15!/6!9!

=5005

15!=15.14.13.12.11.10.9.8.7.6.5.4.3.2.1

6!=6.5.4.3.2.1

9!=9.8.7.6.5.4.3.2.1

Related Questions

Navigate

• Browse (All)
• Browse 3
• Subjects

---

---

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