kyotsu-test 2011 QCourse1-II-Q1

kyotsu-test · Japan · eju-math__session2 Combinations & Selection Distribution of Objects to Positions or Containers

There are six boxes numbered from 1 to 6. We are to put four balls of different sizes into these boxes.
(1) There are altogether $\mathbf{AA}$ ways to put the four balls into the boxes.
(2) There are $\mathbf{CDE}$ ways to put the four balls into four separate boxes.
(3) There are $\mathbf{FGH}$ ways to put three balls into one box and the fourth ball into another.
(4) There are $\mathbf{IJK}$ ways to put at least one ball into the box numbered 1.

There are six boxes numbered from 1 to 6. We are to put four balls of different sizes into these boxes.

(1) There are altogether $\mathbf{AA}$ ways to put the four balls into the boxes.

(2) There are $\mathbf{CDE}$ ways to put the four balls into four separate boxes.

(3) There are $\mathbf{FGH}$ ways to put three balls into one box and the fourth ball into another.

(4) There are $\mathbf{IJK}$ ways to put at least one ball into the box numbered 1.

Paper Questions

QCourse1-I-Q1 QCourse1-I-Q2 QCourse1-II-Q1 QCourse1-II-Q2 QCourse1-III QCourse1-IV QCourse2-I-Q1 QCourse2-I-Q2 QCourse2-II QCourse2-III QCourse2-IV-Q1 QCourse2-IV-Q2