Answer:
A)336
B) In how many ways can you arrange 8 people in 3 different chairs?
C) 21
D) You want to buy 3 cartoon books from a book store that has 7 cartoon books. In how many ways can you select?
Step-by-step explanation:
A) P(n, r) = P(8, 3)
Formula for permutation is;
P(n, r) = n!/(n - r)!
P(8, 3) = 8!/(8 - 3)!
P(8, 3) = (8 × 7 × 6 × 5!)/5!
5! will cancel out to give;
P(8, 3) = (8 × 7 × 6)
P(8, 3) = 336
B) In how many ways can you arrange 8 people in 3 different chairs?
C) C(n, r) = C(7, 2)
Formula for combination is;
C(7, 2) = n!/(n - r)!r!
Thus;
C(7, 2) = 7!/(7 - 2)!2!
C(7, 2) = (7 × 6 × 5!)/(5! × 2 × 1)
5! will cancel out to give;
C(7, 2) = 7 × 6/2
C(7, 2) = 21
D) You want to buy 3 cartoon books from a book store that has 7 cartoon books. In how many ways can you select?
Q)You are going to movies Friday night. which of the theaters will cost the least, if you intend to have soda and popcorn?
Theater A Theater B Theater C
Adults $6.25 $7.25 $5.25
Children $3.50 $3.75 $4.25
Soda $2.00 $2.00 $2.50
Popcorn $2.50 $2.00 $2.50
Answer:
Theater B will cost less.
Step-by-step explanation:
The question here does not tell how many adults and children are going so we will only calculate the price for soda and popcorn for the theaters above.
For Theater A:-
$2.00 + $2.50 = $4.5
For Theater B:-
$2.00 + $2.00 = $4
For Theater C:-
$2.50 + $2.50 = $5
Hence Theater B will cost less.
Answer:
All real numbers
Step-by-step explanation:
2(x + 1) = 2x + 2
2x + 2 = 2x + 2
2x + 2 - 2x - 2 = 2x + 2 - 2x - 2
0 = 0
All real numbers
Answer:
C
Step-by-step explanation:
You are given that
Use the rule
In your case,
Answer:-10
Step-by-step explanation:
6* -3 is -18 then add 8 to get y= -10
