The board of directors of a corporation must select a president, a secretary, and a treasurer. In how many possible ways can this be accomplished if there are 25 members on the board of directors

2400 ways

Step-by-step explanation:

Combination has to do with the idea of selection. Here we need to select a president, a secretary, and a treasurer.

This means to select three out of twenty five persons.

From;

nCr = n! / ((n – r)! r!)

n = the number of items.

r = how many items are taken at a time.

Thus we have;

25C3 = 25!/(25 - 3)! 3!

=

1.6× 10^25/1.1×10^21 × 6

= 2400 ways

6mm^3 or .6cm^3

      216

      /   \

  36     6

  /   \     /

6     6   6

factor trees are nice.