Plz Help - combinations problem

• June 12th 2009, 09:15 AM
AZHAR
Plz Help - combinations problem
how it wil b solve?

Saqib buys 3 cows, 2 pigs and 4 hens from a man who has 6 cows, 5 pigs and 8 hens. How many choices does the Saqib have?

Thanks
• June 12th 2009, 11:29 AM
Soroban
Hello, AZHAR!

I must assume that you've been taught about Combinations
. . before you were assigned this problem.

Quote:

Saqib buys 3 cows, 2 pigs and 4 hens from a man who has 6 cows, 5 pigs and 8 hens.
How many choices does the Saqib have?

He buys 3 of the 6 cows: . $_6C_3 \:=\:20$ choices.

He buys 2 of the 5 pigs: . $_5C_2 \:=\:10$ choices.

He buys 4 of the 8 hens: . $_8C_4 \:=\:70$ choices.

Therefore, he has: . $20 \times 10 \times 70 \:=\:14,\!000$ choices.