Rosario is going to a gas station to buy a lottery ticket. According to the rules of the lottery, each ticket will contain five different numbers from 1 to 22. To win the jackpot, the five numbers Rosario chooses would have to match the five numbers drawn, but the numbers do not have to be in the same order. How many possible lottery tickets can Rosario choose from?
3,160,080 my final answer or do i nd to divide

Question

Rosario is going to a gas station to buy a lottery ticket. According to the rules of the lottery, each ticket will contain five different numbers from 1 to 22. To win the jackpot, the five numbers Rosario chooses would have to match the five numbers drawn, but the numbers do not have to be in the same order. How many possible lottery tickets can Rosario choose from?
3,160,080 my final answer or do i nd to divide

apoorvk · Answer

So, there can be 22 possible ways the the first no.can be, 21 for the next, 20 for the one after that, and so on...
so you basically multiply 22x21x20.... till the 5th digit.
That is the no. of tickets present.|dw:1337397257342:dw|
so your answer would be = 22x21x20x19x18 = ??


METHOD-II
Alternatively you could think this way that we need to choose 5 nos. from a possible 22, which means 22combination5, or 22C5 (not permutation since order doesn't matter)