The value of the digit in the hundreds place in the number 653,841 is 1/10 the value of the digit in the thousands place in which number?
a. 748,917
b. 749,817
c. 784,817
d. 797,481

there is only one way to arrange all the eight relative to each other because they are not distinct. we have

now there are nine places to place an (and not more than one in one place).   because we have four symbols, we need to choose four of these nine places to insert an . order does not matter because the are not distinct.

thus there are 1 · c(9,4) ways, or, if we calculate it,

thus there are 126 ways to form such "words."

answer is c chief it always is