Re: [計量] CAT Test 1&2
※ 引述《Holahone (ptt新手)》之銘言：
: Test 1 No. 16
: Pat goes to the toy store to buy 2 distinct balls, either a football,
: basketball, or soccer balls, and 3 different board games. If the toy
: store is stocked with all types of balls but only 6 different types
: of board games, how many different selections of 5 items can Pat make?
: (A)18 (B)20 (C)40 (D)60 (E)162
: 參考答案是D
: 我卻找不到我的答案@@
: 我的算法: {3(球的組合)}x{6x5x4(遊戲的選法)}=360
3 6 3! 6!
球的組合*遊戲選法=C * C = ---- * ----- = 3*5*4=60
2 3 1!2! 3!3!
: Test 2 No. 23
: Three friends are playing a game in which each person simultaneous displays
: one of the three hand sign: a clenched fist, a open palm, or two extened
: fingers. How many different combinations fo the signs are possible?
: (A)7 (B)9 (C)10 (D)12 (E)27
: 答案是C
: 但我選的是E (3x3x3=27, 三個人各有3種出法，所以相乘)
: 還請高手能賜教!
他是問說combinations for signs...不是問三個不同的人的出法
因此算法是
拳拳拳 拳拳布 拳拳剪
剪剪剪 剪剪布 剪剪拳 + 剪布拳 10種
布布布 布布剪 布布拳
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