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

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- Jun 12th 2009, 09:15 AMAZHARPlz 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 - Jun 12th 2009, 11:29 AMSoroban
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: .$\displaystyle _6C_3 \:=\:20$ choices.

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

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

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