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Number of choices = ?[[0]]

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There are two shops that sell jumpers. The first shop has $\\var{a}$  designs and  $\\var{c}$ colours. The second shop has  $\\var{b}$ designs and $\\var{d}$  colours. The designs in the first and second shop are all different. How many choices of jumper do I have?

", "tags": ["checked2015", "combinatorics", "MAS1701", "MAS2216", "sc"], "question_groups": [{"pickingStrategy": "all-ordered", "questions": [], "name": "", "pickQuestions": 0}], "preamble": {"css": "", "js": ""}, "type": "question", "metadata": {"notes": "

7/02/2013:

\n

Finished first draft. Need advice on tags and description.

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Two shops each have different numbers of jumper designs and colours. How many choices of jumper are there?

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There are  $\\var{a} \\times \\var{c}=\\var{a*c}$ ways to get a jumper from the first shop and  $\\var{b} \\times \\var{d}=\\var{b*d}$ ways to get a jumper from the second shop. Adding these two numbers together gives a total of $\\var{ans}$  possible jumpers.

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