An environmental organization has 28 members Each member wil

An environmental organization has 28 members. Each member will be placed on exactly 1 of 4 teams. Each
team will work on a different issue. The first team has 8 members, the second has 10, the third has 3, and the
fourth has 7. In how many ways can these teams be formed?

a. 1.582132014 × 10^23
b. 4.823624798 × 10^14
c.   3.048883446 × 10^29
d.   6.890892569 × 10^13

Solution

total number of possible ways = ²⁸C₃ x ²⁵C₇ x ¹⁸C₈ = (28!)/(10! x 8! x 7! x 3!) = 6.890892569 × 10¹³