Advertisements
Advertisements
प्रश्न
The greatest positive integer which divide n(n + 1) (n + 2) (n + 3) for all n ∈ N is:
पर्याय
2
6
20
24
Advertisements
उत्तर
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
संबंधित प्रश्न
How many 3-digit even numbers can be made using the digits 1, 2, 3, 4, 6, 7, if no digit is repeated?
Find r if `""^5P_r = ""^6P_(r-1)`
How many natural numbers not exceeding 4321 can be formed with the digits 1, 2, 3 and 4, if the digits can repeat?
Find the total number of ways in which 20 balls can be put into 5 boxes so that first box contains just one ball ?
Evaluate each of the following:
P(6, 4)
The number of ways in which the letters of the word 'CONSTANT' can be arranged without changing the relative positions of the vowels and consonants is
In how many ways 5 boys and 3 girls can be seated in a row, so that no two girls are together?
If `""^(("n" – 1))"P"_3 : ""^"n""P"_4` = 1 : 10 find n
Three men have 4 coats, 5 waist coats and 6 caps. In how many ways can they wear them?
In how many ways 4 mathematics books, 3 physics books, 2 chemistry books and 1 biology book can be arranged on a shelf so that all books of the same subjects are together
