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: The answer is $0.42 APEX
91 more than the square of a number can be expressed algebraically as:
let the number be x;
square of x is x^2
thus our answer is x^2+91
Answer:
Slope is 2
Step-by-step explanation:
(-9, -19) and (-2,-5)
m=(y2-y1)/(x2-x1)
m=( -5 + 19)/( -2 + 9)
m = (14)/(7)
m = 2
Unfortunately, you failed to show the diagram in the question or any link that would somehow lead us to the diagram. However, to answer the question we can make use of the equation,
A = 0.5Pa
where A is area, P is perimeter and a is the apothem.
