What is the value of 9P5?A. 45
B. 126
C. 15,120
D . 59,049
A cooking club has 12 members.How many ways can they select a president and vice president from among the members?
A. 1320
B. 220
C. 132
D. 66
Answers
C) 15120
C) 132.
Explanation:
9P5 is a permutation of 9 objects taken 5 at a time; this is
9! / (9-5)! = 9!/4!
= (9*8*7*6*5*4*3*2*1)/(4*3*2*1)
= 15120.
The second question is a permutation of 12 objects taken 2 at a time; this is 12! / (12-2)! = 12!/10!
=(12*11*10*9*8*7*6*5*4*3*2*1) / (10*9*8*7*6*5*4*3*2*1)
=132
9P5 is a permutation of 9 objects taken 5 at a time; this is ⁹P₅ = 15120. So, the correct option is C.
A permutation of 12 objects taken 2 at a time; this is 132 ways can they select a president and vice president from among the members. So, the correct option is C.
Given:
9P5 is a permutation of 9 objects taken 5 at a time; this is
9! / (9-5)! = 9!/4!
= (9*8*7*6*5*4*3*2*1)/(4*3*2*1)
= 15120.
A permutation of 12 objects taken 2 at a time; this is 12! / (12-2)! = 12!/10!
=(12*11*10*9*8*7*6*5*4*3*2*1) / (10*9*8*7*6*5*4*3*2*1)
=132
Therefore, the cooking club has 12 members. there are 132 ways can they select a president and vice president from among the members
Learn more about permutation here:
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Related Questions
How can you do this question about standard form?
Solve the system of equations .y = -14x - 20y = x2 - 4x + 5
the moon is about 240 000 miles from earth what's this distance written as a whole number multipled by a power of ten?
What is 3264 in expanded form
Answers
I am glad to help you
4 + |7-m| = 5
I will change them side so i can be more comfortable
|-m + 7| + 4 = 5
|-m + 7| = 5 - 4
|-m +7 | = 1
Now let's solve the absolute value
We know, either -m + 7 = 1 or -m +7 = -1
There 2 possibilities, so lets solve the first possibility
-m + 7 = 1
-m = 1 -7
-m = -6
Divide both sides by -1
-m/-1 = -6/-1
m = 6(That's the answer for possibility 1)
Now let's solve for possibility 2
-m + 7 = -1
-m = -1 - 7
-m = -8
Divide both sides by -1
-m/-1 = -8/-1
m= 8 (That's the answer for possibility 2)
Final answer : m= 6 or m=8
I hope that's help, if you have any questions about my answer please let me know.
|7-m|=5-4
|7-m|=1
7-m=1 or 7-m=-1
-m=1-7 -m=-1-7
-m=-6 -m=-8
m=6 m=8
A.21 2/3
B.20 2/3
C.22 2/3
D.21 10/15
Answers
Convert mixed number to improper fraction.
Then change all the denominators into a same number
Add all the numerators but let all the denominators be same.
Change the improper fraction back into a mixed number..
Your final answer is C.
Answers
Answers
The quotient of 2 non-zero integers is seldom another integer.
In fact, the quotient is another integer ONLY when the divisor
is a factor of the dividend.
A.
(–5) • 6 + 11
B.
(–5) + 6 + 11
C.
(–5) • 6 • 11
D.
(–5) • 6 + (–5) • 11
Answers
A. (–5) • 6 + 11= -19
B. (–5) + 6 + 11= 12
C. (–5) • 6 • 11= -330
D. (–5) • 6 + (–5) • 11= -85
Answers
First, you have to find a common denominator
The LCM of 4 and 5 is 20
Subtract the numerators
1/20 is the final answer