Miscellaneous Company Exam Company

How many ways are there to arrange 7 red, 7 blue, and 7 black pens in a row so that no two red pens lie next to each other?

Read Solution (Total 1)

Note that red pens must be separated by at least two places from each other. If we number the 21 places 0 to 20 and let x_k to be the position of the kth pen (read from left to right), k=1,2,...,7. Then x_7>=12 holds as a result and obviously, x_7
12 years agoHelpfull: Yes(1) No(0)

Miscellaneous Company Exam Other Question

A calculator is out of order. For all number, before and after any arithmetic operation, the calculator will round up the numerical value to one decimal place if the value at the second decimal digit is 4 and above, or else it rounds down the value to one decimal place.

Calculate the absolute and relative error for sq rt5 - sq rt6 By using the digits 0, 1, 2, 3, 4 and 5 John arranges the number in ascending order as follow:
0, 1, 2, 3, 4, 5, 10, 11, 12, 13, 14, 15, 20, 21, 22, 23, 24, 25, 30, 31, ….

(a) How many of the 10-digit numbers have exactly three 4s?
(b) What is the number of the 99999th term?