Advertisements
Advertisements
Question
The greatest positive integer which divide n(n + 1) (n + 2) (n + 3) for all n ∈ N is:
Options
2
6
20
24
Advertisements
Solution
24
Explanation:
Put n = 1 in n(n + 1) (n + 2) (n + 3)
= 1(1 + 1) (1 + 2) (1 + 3)
= 1 × 2 × 3 × 4
= 24
APPEARS IN
RELATED QUESTIONS
if `1/(6!) + 1/(7!) = x/(8!)`, find x
Find r if `""^5P_r = 2^6 P_(r-1)`
Write the remainder obtained when 1! + 2! + 3! + ... + 200! is divided by 14 ?
If the letters of the word KRISNA are arranged in all possible ways and these words are written out as in a dictionary, then the rank of the word KRISNA is
How many five digits telephone numbers can be constructed using the digits 0 to 9 If each number starts with 67 with no digit appears more than once?
Choose the correct alternative:
The product of r consecutive positive integers is divisible b
In how many ways 3 mathematics books, 4 history books, 3 chemistry books and 2 biology books can be arranged on a shelf so that all books of the same subjects are together.
The number of 5-digit telephone numbers having atleast one of their digits repeated is ______.
The total number of 9 digit numbers which have all different digits is ______.
The number of different words that can be formed from the letters of the word INTERMEDIATE such that two vowels never come together is ______.
