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2. Suppose 6 people will be lined up to get on a bus. Find the number of different ways they can be ordered under the followi
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Answer #1

lined up 2. 6 people each other, 41 X 3! no 2 144. a) ff 3 people among 6, insist on following of ways are possible (3 people

answered by: ANURANJAN SARSAM
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Answer #2

a) Given that 3 people out of 6 are to be together, we consider tham as 1 group and so we are left with 3 other people - so 4 groups. Total ways to arrange them

= 4! * Number of permutations of those 3 people together

= 4! * 3!

= 144

Therefore there are 144 ways to arrange here.

b) Given that 2 people refuse to be together, total ways to place the people here is computed as:

= Total ways to arrange rest 4 people * Total ways to arrange those 2 people in 5 positions after 4 people are arranged

= 4! * 5*4

= 480

Therefore there are 480 ways to arrange here.

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