Question

A. The number of ways you can divide 6 different candies to 4 different people. B. The number of ways you can divide 7 different candies to 3 different people.

• A. If quantity A is greater than quantity B
• B. If quantity B is greater than quantity A
• C. If quantities A and B are equal
• D. If comparison cannot be made.

Answer 1

Answer: (B)

If quantity B is greater than quantity A

Answer 2

The number of ways you can divide 6 different candies to 4 different people is given by,

$=6C_4$ or $6C_2=\frac{6\times45}{1\times2}=15$

The number of ways you can divide 7 different candies to 3 different people is given by,
$=7C_3=\frac{7\times6\times5}{1\times2\times3}=35$

Quantity B is greater than quantity A.
Hence, option B is the correct answer.The correct option is (B): If quantity B is greater than quantity A