Let S be the set of 6-digit numbers `a_1 a_2 a_3 a_4 a_5 a_6` (all digits distinct) where `a_1 > a_2 > a_3 > a_4 < a_5 < a_6.` Then `n(S)` is equal to

Let A be the set of 4-digit numbers a_1 a_2 a_3 a_4 where a_1 > a_2 > a_3 > a_4 , then n(A) is equal to

Let A be the set of 4-digit numbers a_1 a_2 a_3 a_4 where a_1 > a_2 > a_3 > a_4 , then n(A) is equal to

Let A be the set of 4-digit numbers a_1 a_2 a_3 a_4 where a_1 > a_2 > a_3 > a_4 , then n(A) is equal to

Let A be the set of 4-digit numbers a_1 a_2 a_3 a_4 where a_1 > a_2 > a_3 > a_4 , then n(A) is equal to

Let A be the set of 4- digit numbers a_1a_2a_3a_4 where a_1gt a_2 gt a_3 gt a_4 then n(A) is equal to

Consider the following statements : A number a_1 a_2 a_3 a_4 a_5 is divisible by 9 if 1. a_1 + a_2 + a_3 + a_4 + a_5 is divisible by 9. 2. a_1 - a_2 + a_3 - a_4 + a_5 is divisible by 9. Which of the above statements is/are correct?

Suppose four distinct positive numbers a_1, a_2, a_3, a_4, are in G.P. Let b_1=a_1,b_2=b_1+a_2.b_3=b_2+a_3 and b_4=b_3+a_1.

Let 6 Arithmetic means A_1, A_2, A_3, A_4, A_5, A_6 are inserted between two consecutive natural number a and b (a > b). If A_1^2 - A_2^2 + A_3^2 - A_4^2 + A_5^2 - A_6^2 is equal to prime number then 'b' is equal to

The average of a_1, a_2, a_3, a_4 is 16. Half of the sum of a_2, a_3, a_4 is 23. What is the value of a_1