Out of the total six letters, three are vowels (E, I, E) and three are consonants (SRS)Here, E and S come twice If we take all the vowels together the number of letters is 3 + 1 = 4So, letters can be arranged in 41/21 ways and three vowels can be arranged in 31/21 ways ∴ Total number of ways = 41/21 x 31/21= 12 x 3 = 36
Let the four numbers be x, x + 2, x + 4 and x + 6.=> x + x + 2 + x + 4 + x + 6 = 36=> 4x + 12 = 36 => x = 6The numbers are 6, 8, 10 and 12.Sum of their squares = 62 + 82 + 102 + 122 = 36 + 64 + 100 + 144 = 344.
Let the numbers be x, x + 2, x + 4, x + 6, and x + 8Avg = x + x + 2 + x + 4 + x + 6 + x + 8/5 = 40Therefore, 5x + 20 = 200Therefore, x = 180/5 = 36Therefore, r = x + 4 = 40 s = x + 6 = 42Therefore, Product = 1680
EXAMIANS