It has an infinite rotation symmetry because no matter how you rotate the object, it look the same.
Multiply 12 slices by 2/3:
12 x 2/3 = (12 x 2) /3 = 24/3 = 8
The answer is 8
The domain for all variables of the set of nonnegative integers given is true.
<h3>How to explain the truth value?</h3>
From the information given, we are given ∃n∀m(m< n). This implies that for all m, there exists n such that m × n where m and n are non negative integers.
This statement is true because for any non negative integer, the least value is zero and the set is unbounded.
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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
