Answer:
(a) How many are there to select 2 pairs of gloves?
10 ways
(b) How many ways are there to select 4 gloves out of the 10 such that 2 of the 4 make a pair. (a pair consists of any right glove and left glove.)
130 ways
Step-by-step explanation:
We solve the above questions using Combination
Combination = C(n, r) = nCr
= n!/n! ×(n - r)!
(a) How many are there to select 2 pairs of gloves?
We have 5 pairs of gloves. Therefore, the number of ways to select 2 gloves =5C2
= 5!/2! × (5 - 2)!
= 5!/2! × 3!
= 5 × 4 × 3 × 2 × 1/(2 × 1) × (3 × 2 × 1)!
= 10 ways.
(b) How many ways are there to select 4 gloves out of the 10 such that 2 of the 4 make a pair. (a pair consists of any right glove and left glove.)
We are told to select 4 gloves out of the 10 gloves = 10C4
We have 5 pairs, we need to make sure that two out of the selected 4 make a pair = 5 × 2⁴
= 80
Hence,
10C4 - 5C4
= [10!/4! × (10 - 4)!] - 80
= 210 - 80
= 130 ways
Answer:
5
Step-by-step explanation:
They are different by 5 percantages
In such type of questions, all that you are supposed to do is, use basic mathematics to eliminate any one of the given two variables.
Check out the equations if in case you can multiply any of the given ones with a -1 and add the two equations,eliminating one of the variables.
Answer: (for the sentence) an endpoint; one direction
Step-by-step explanation:
Drag the point that does not have an arrow after it to point A and the other one to point B.
As we know the volume of a prism is the product of height and base are
H(x)= height, A(x)= Base area
Thus,
When volume = height(base area )
V(x)= A(x) · H(x)
= (x²-2)(5)
= 5(x² -2)
