Question:
Number of divisors of the form $(4n + 2), n\ge 0$ of the integer 240 is
Number of divisors of the form $(4n + 2), n\ge 0$ of the integer 240 is
Updated On: Jun 14, 2022
- 4
- 8
- 10
- 3
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The Correct Option is A
Solution and Explanation
Since, $240 = 2^4$.3.5
$\therefore $Total number of divisors $= (4 + 1)(2)(2) =20$
Out of these 2, 6, 10, and 30 are of the form 4n + 2.
Therefore, (a) is the answer.
$\therefore $Total number of divisors $= (4 + 1)(2)(2) =20$
Out of these 2, 6, 10, and 30 are of the form 4n + 2.
Therefore, (a) is the answer.
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Concepts Used:
Permutations and Combinations
Permutation:
Permutation is the method or the act of arranging members of a set into an order or a sequence.
- In the process of rearranging the numbers, subsets of sets are created to determine all possible arrangement sequences of a single data point.
- A permutation is used in many events of daily life. It is used for a list of data where the data order matters.
Combination:
Combination is the method of forming subsets by selecting data from a larger set in a way that the selection order does not matter.
- Combination refers to the combination of about n things taken k at a time without any repetition.
- The combination is used for a group of data where the order of data does not matter.