Question

To set up a farm, a farmer goes to buy some animals. He selects from cows, sheep, goats, chickens and pigs. In how many ways can he select 15 animals such that he selects atleast 1 cow, 2 sheep, 2 goats and 3 chicken.

• A. 1215
• B. 1306
• C. 210
• D. 330
• E. 420

Answer 1

The correct option is D 330

C+S+G+Ch+P = 15

Removing 1+2+2+3 =8

C+S+G+Ch+P=7

This is the arrangement of 7 zeroes and 4 ones. ${}^{11}$C${}_4$ = 330