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13 13 # of poker hands with 3 clubs & 2 heards = ( ) ( ) 3 2 = (13!)( 13!) / (10!*3!*11!*2) = (13!)( 13!) / (10!*11!*12) = (13!)( 13!) / (10!*12!) = 13 * 13* 12 * 11 = 22308 #
There are an infinite number of sets-of-4 that all have a mean of 12. Here are a few of them : 12, 12, 12, and 12 10, 11, 12, and 15 5, 10, 15, and 18 5, 7, 13, and 23 -12, 10, 20, and 30 1, 2, 3, and 42
9.75
14. Put in order: {1, 6, 10, 12, 12, 13, 15, 19, 27, 31, 32, 40} There are 12 data items, so the median is the (12 + 1) ÷ 2 = 61/2th data item. As 61/2 is not a whole number, take the mean average of the 6th and 7th data items: 6th is 13, 7th is 15 ⇒ median = (13 + 15) ÷ 2 = 14
They are: 2 4 6 8 10 and 12