Question

Four pencils, three pens and five erasers are given to 5 boys and 7 girls such that 1. no girl gets a pen. 2. at least one of the boys should get an eraser and at least one boy should get a pencil. 3. each person gets one item. In how many ways can the things be distributed if pencils, pens and erasers are of similar kind

Answer 1

Step-by-step explanation:

No girls get pan then this means boys have all pans = 5C3

At least one boy get an eraser = 2C1

rest of eraser girls have = 7C4

at least one boy gets an pencil = 1C1

rest of pencil goes to girls = 3C3

A/Q,

Total no. of ways to distribute above things to 5 boys and 7 girls = (5C3)(2C1 × 7C4)(1C1 × 3C3)

= [(5×4)/2][2×{(7×6×5)/6}][1]

= 10 × 70

= 700 ways.