- #1

student74

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## Homework Statement

We draw 5 cards out of a normal deck of 52 cards. No replacements.

How many combinations have exactly one Jack, one Queen, one King?

## Homework Equations

## The Attempt at a Solution

The solution = 49,920

My attempts:

I keep getting 99,840.

So 4C1 Jack, 4C1 Queen, 4C1 King, then for remaining two cards 40 possible, then 39 possible.

I go 4C1 x 4C1 x 4C1 x 40 x 39 = 99,840

Are there combinations that are repeated somewhere then? :S