Statement-1: The smallest positive integer n such that n! can be expressed as a product of n-3 consecutive integers, is 6. Statement-2: Product of thr

Question

Statement-1: The smallest positive integer n such that n! can be expressed as a product of n-3 consecutive integers, is 6. Statement-2: Product of thr

Statement-1: The smallest positive integer n such that n! can be expressed as a product of n-3 consecutive integers, is 6.
Statement-2: Product of three consecutive integers is divisible by 6.
A. Statement-1 is true, statement-2 is true, statement-2 is a correct explanation for statement-1
B. Statement-1 is true, statement-2 is true, statement-2 is not a correct explanation for statement-1
C. Statement-1 is true, statement-2 is false
D. Statement-1 is false, statement-2 is true

Monjur Alahi

4 views

2025-01-04 04:42

1 Answers

Related Questions

If three numbers are added , their sum is 2 . If two times the second number is subtracted from the sum of first and third numbers we get 8 and if thr

2 Answers 4 Views

If the four positive integers are selected randomly from the set of positive integers, then the probability that the number 1,3, 7 and 9 are in the un

2 Answers 8 Views

if roots of `ax^(2)+bx+c=0` where `epsiR^(+),` are two positive consecutive even integers, then

2 Answers 4 Views

The number of positive integers with the property that they cann be expressed as the sum of the cubes of 2 positive integers in two different ways is

2 Answers 4 Views

Let n denote the number of all n-digit positive integers formed by the digits `0, 1` or both such that no consecutive digits in them are 0. Let `b_n`

2 Answers 9 Views

Let `n_1<n_2<n_3<n_4<n_5` be positive integers such that `n_1+n_2+n_3+n_4+n_5=20.` then the number of such distinct arrangements `n_1, n_2, n_3, n_4,

2 Answers 4 Views

If the sum of m consecutive odd integers is `m^(4)` , then the first integer is

2 Answers 4 Views

If x,y,z be three positive prime numbers. The progression in which `sqrt(x),sqrt(y),sqrt(z)` can be three terms (not necessarily consecutive) is

2 Answers 4 Views

Let a,b,c be positive integers such that `(b)/(a)` is an integer. If a,b,c are in geometric progression and the arithmetic mean of a,b,c is`b+2`, the

2 Answers 4 Views

If `Aa n dB` are two non-singular matrices of the same order such that `B^r=I ,` for some positive integer `r >1,t h e nA^(-1)B^(r-1)A=A^(-1)B^(-1)A=`

2 Answers 4 Views

Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - B
Statement-1 is true
`therefore6!=720=8xx9xx10` i.e., product off 6-3=3 consecutive integers and statement-2 is also true, but statement-2 is not a correct explanation for statement-1.

4 views Answered 2023-02-05 15:29