<h2>
Answer:</h2>
(a) P(11,5)= 55440
(b) C(11,5)=462
<h2>
Step-by-step explanation:</h2>
We know that the permutation is the number of ways of arranging r items out of a total of n items and is given by:

and the combination is the number of ways of choosing r items out of a total of n items and is given by:

(a)
P(11,5)

(b)
C(11,5)

Here, Time = Distance / speed
Substitute your known values,
t = 266 miles / 76 mph
t = 3.5 hours
In short, Your Answer would be: 3.5 Hours
Hope this helps!
Given:
Number of pink bows = 6
Number of blue bows = 1
Number of purple bows = 3
Nataly will randomly choose 1 bow from the box.
To find:
The probability that the Nataly will choose a pink bow.
Solution:
The total number of bows is:

The total number of bows is the total outcomes.
Total outcomes = 10
The number of pink bows is the favorable outcomes.
Favorable outcomes = 6
We know that, the probability that the Nataly will choose a pink bow is



Therefore, the probability that Nataly will choose a pink bow is 0.6.
It's good it would have made me laugh if u had thought the statement was false
Sum = n/2[2a + (n - 1)d] where a = first term, n = number of terms and d = common difference
(a) 30/2(2 x 5 + (30 - 1) x d) = 1455
10 + 29d = 1455 / 15
29d = 97 - 10
d = 87 / 29 = 3
(b) 7/2(2 x 9 + (7 - 1)d) = 0
18 + 6d = 0
6d = -18
d = -3