The Student Room Group

S1 Question

There is a lottery where each ticket has 5 different letters printed on it (So there are 65780 tickets in total).

Tickets which match 3 numbers win £10.

Find the number of tickets which win £10.

I thought it would be 5C3 (For the three you match) x 21 (number of possible letters for letter #4) x 20 (number of possible letters for letter #5) = 4200.

Apparently the answer is 2100, what did I do wrong?
Reply 1
i would agree on 4200...
hmmm
Reply 2
Can anybody see how to get 2100 as the answer?
Reply 3
Wait i got it!
It's 5C3 multiplied by 21C2
Reply 4
Ohhhh, how obvious was that. Thanks!

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