An electronic salesperson carries 6 identical amplifier tubes, 5 identical rectifiers, 2 identical condensers, and 4 identical relays. In how many different ways can these parts be arranged in a row?

Question

Mathematics

Katelynn Carson

10 August, 06:19

An electronic salesperson carries 6 identical amplifier tubes, 5 identical rectifiers, 2 identical condensers, and 4 identical relays. In how many different ways can these parts be arranged in a row?

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Orion York · Answer 1

No of arrangement = (6+5+2+4) ! / (6! * 5! * 2! * 4!) = 17! / (6! * 5! * 2! * 4!) = (17 * 16 * 15 * 14 * 13 * 12 * 11 * 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1) / (6 * 5 * 4 * 3 * 2 * 1 * 5 * 4 * 3 * 2 * 1 * 2 * 1 * 4 * 3 * 2 * 1) = 85,765,680