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:
113.1cm^2
Step-by-step explanation:
We know the area for a circle is pi * r^2, where r is the radius. We know the diameter, so all we need to do to find the radius is half the distance of the diameter, which would then be 6 cm. We plug in 6 as r, we get 36pi cm^2 as our exact answer. And a good approximation would be 113.1 cm^2.
Answer:
4√2 or 5.66 to the nearest hundredth.
Step-by-step explanation:
Applying the Pythagoras Theorem:_
c^2 = a^2 + b^2
c^2 = 4^2 + 4^2
c^2 = 32
c = √32
c = 4√2
Step-by-step explanation:
Step 1: <em>Calculate per apartment;</em>
<em>⟼</em> 228,000 ÷ 24
⟼ 9,500
Step 2: <em>Multiply the price per apartment by 10;</em>
⟼ 9,500 × 10
⟼ 95,000
Step 3: <em>Substract the amount of 10 apartments from 24 apartments.</em>
<em>⟼</em><em> </em>228,000 - 95,000
⟼ 133,000
<u>Therefore, </u>$133,000 is still available for the remaining apartments.
Answer: 4
Step-by-step explanation:
Protons have a positive charge, so 4 protons would have a charge of positive 4
