document.write( "Question 1052276: Hi I'm kind of stuck on this:\r
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\n" ); document.write( "\n" ); document.write( "We have seven different pairs of shoes, and eight different pairs of socks.
\n" ); document.write( "(a) How many ways are there to pick a pair of shoes and a pair of socks?\r
\n" ); document.write( "\n" ); document.write( "for this I think its just 7 choose 1 * 8 choose 1\r
\n" ); document.write( "\n" ); document.write( "= 56\r
\n" ); document.write( "\n" ); document.write( "(b) How many ways are there to pick a pair of shoes and two socks, not necessarily from
\n" ); document.write( "the same pair? (Socks in the same pair are identical, but socks from different pairs are
\n" ); document.write( "different.)\r
\n" ); document.write( "\n" ); document.write( "How would I go about this what I have so far is 7 choose 1 * 16 choose 2 * 15 choose 1
\n" ); document.write( "= 12600\r
\n" ); document.write( "\n" ); document.write( "It seems like too large a jump?\r
\n" ); document.write( "\n" ); document.write( "Thanks
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Algebra.Com's Answer #667666 by addingup(3677)\"\" \"About 
You can put this solution on YOUR website!
7*8 = 56
\n" ); document.write( "Here's proof
\n" ); document.write( "Shoes: A,B,C... G (7)
\n" ); document.write( "Socks: 1,2,3... 8
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\n" ); document.write( "A1 A2 A3 A4 A5 A6 A7 A8
\n" ); document.write( "B1 B2 B3 B4 B5 B6 B7 B8
\n" ); document.write( "C1 C2 C3 C4 C5 C6 C7 C8
\n" ); document.write( "D1 D2 D3 D4 D5 D6 D7 D8
\n" ); document.write( "E1 E2 E3 E4 E5 E6 E7 E8
\n" ); document.write( "F1 F2 F3 F4 F5 F6 F7 F8
\n" ); document.write( "G1 G2 G3 G4 G5 G6 G7 G8
\n" ); document.write( "Choices: 7 down and 8 across, 7*8 = 56
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