Given below are two quantities named A and B. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answer. Quantity A: In how many ways can a group of 4 boys and 5 girls be selected from 8 boys and 6 girls? Quantity B: In how many ways can a group of 4 boys and 5 girls be selected from 6 boys and 8 girls?

Given below are two quantities named A and B. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answer. Quantity A: In how many ways can a group of 4 boys and 5 girls be selected from 8 boys and 6 girls? Quantity B: In how many ways can a group of 4 boys and 5 girls be selected from 6 boys and 8 girls? Correct Answer Quantity A < Quantity B

Quantity A:

(4 out of 8 boys) and (5 out of 6 girls) are to be chosen

⇒ Required no. of ways = 8C4 × 6C5 = 70 × 6 = 420

⇒ Quantity A = 420

Quantity B:

(4 out of 6 boys) and (5 out of 8 girls) are to be chosen

⇒ Required no. of ways = 6C4 × 8C5 = 15 × 56 = 840

⇒ Quantity B = 840

∴ Quantity A < Quantity B

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