How many five-card poker hands containing exactly three aces are possible?

3 aces and 2 other cards:   AAA??

There are 4 possible aces and 48 possible non-aces

AAA = 4 x 3 x 2                    ??  = 48 x 47

AAA?? = 4 x 3 x 2 x 48 x 47

          = 81,216

81,216 hands

x=6 and x=3

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the number of possible outcomes that do not show a 1 on the first spinner and show the number 4 on the second spinner is 2.

spinner 1 spinner 2

1                     1

1                     2

1                     3

1                     4

2                   1

2                   2

2                   3

2                   4   = not 1, and 4

3                   1

3                   2

3                   3

3                   4 = not 1, and 4

only 2 outcomes have passed the given condition.

step-by-step explanation: