Forming Words How many different 11letter words real or imag

Forming Words How many different 11-letter words real or imaginary can be formed from the letters in words real or imaginary- MATHEMATICS? 27. Arranging Lights How many different ways can 3 red, 4 yellow, and 5 blue bulbs be arranged in a string of Christmas tree lights with 12 sockets? 28. Arranging Trees In how many ways can 3 apple trees, 4 peach trees, and 2 plum trees be arranged along a fence line if one does not distinguish between trees of the same kind? Forming a committee A student dance committee is to be formed consisting of 2 boys and 3 girls. If the membership is to be chosen from 4 boys and 8 girls, how many different committees are possible? 30. Forming a Committee The student relations committee of a college consists of 2 administrators, 3 faculty members, and 5 students. Four administrators, 8 faculty members, and 20 students are eligible to serve. How many different commutes are possible? 31. Forming Teams In how many ways can 12 children be play on 3 distinct teams of 3, 5, and 4 members?

Solution

4C2 * 8C3 * 20C5