Question

counting question

Answer 1

If the 5 cards shown above are placed in a row so that [5] is never at either end, how many different arrangements are possible?

The answer is 72...but I don't know how they got the answer...

Answer 2

@ganeshie8

Answer 3

[3] [2] [5] [9] [7]

Answer 4

forget about the given restriction
how many total ways can you arrange 5 cards in a row ?

Answer 5

[3] [2] [5] [9] [7] every one of this is card

Answer 6

how i solve it by calc plz

Answer 7

scientific calc

Answer 8

initially you have 5 cards available, so
you can choose the first card in 5 ways
after that, you can choose the second card in 4 ways
after that, you can choose the third card in 3 ways
after that, you can choose the fourth card in 2 ways
after that, you can choose the fifth card in 1 ways



so total number of ways of arranging 5 cards in a row = \(5*4*3*2*1 = 120\)