標題:
nCr and nPr 4 (5m)
發問:
Can you please help me? Thank you. 5 marks Please show steps. 1. Kitty wants to choose 3 out of 13 different items as the Christmas presents. Given that 4 items are from shop A, 6 items are from shop B and 3 items are from shop C, find the number of combinations if choosing at least 1 item from shop A.... 顯示更多 Can you please help me? Thank you. 5 marks Please show steps. 1. Kitty wants to choose 3 out of 13 different items as the Christmas presents. Given that 4 items are from shop A, 6 items are from shop B and 3 items are from shop C, find the number of combinations if choosing at least 1 item from shop A. Solutions for Q1 - 202 2. There are 50 buttons on a calculator. 5 of them do not work. If 4 different buttons are selected, find the number of combinations if (a) only one button selected does not work. (b) at least one button selected does not work. Solutions Q2 - (a) 70 950 (b) 81 305 3. It is given that the product of 5 prime numbers 11, 13, 17, 19 and 97 is 4 480 333. How many positive factors of 4 480 333 are there? Hint: Are 11 x 13, 13 x 17, 11 x 17 factors of 4 480 333? Is 11 x 13 x 17 a factor of 4 480 333? Solutions Q3 - 32
最佳解答:
Q1 13C3-9C3=13*2*11-3*4*7=286-84=202 Q2 (a) (5C1)(45C3)=14190*5=70950 (b) 50C4-45C4=81305 Q3 The answer is 5C0+5C1+5C2+...+5C5=2^5=32 (By binomial theorem)
其他解答:
nCr and nPr 4 (5m)
發問:
Can you please help me? Thank you. 5 marks Please show steps. 1. Kitty wants to choose 3 out of 13 different items as the Christmas presents. Given that 4 items are from shop A, 6 items are from shop B and 3 items are from shop C, find the number of combinations if choosing at least 1 item from shop A.... 顯示更多 Can you please help me? Thank you. 5 marks Please show steps. 1. Kitty wants to choose 3 out of 13 different items as the Christmas presents. Given that 4 items are from shop A, 6 items are from shop B and 3 items are from shop C, find the number of combinations if choosing at least 1 item from shop A. Solutions for Q1 - 202 2. There are 50 buttons on a calculator. 5 of them do not work. If 4 different buttons are selected, find the number of combinations if (a) only one button selected does not work. (b) at least one button selected does not work. Solutions Q2 - (a) 70 950 (b) 81 305 3. It is given that the product of 5 prime numbers 11, 13, 17, 19 and 97 is 4 480 333. How many positive factors of 4 480 333 are there? Hint: Are 11 x 13, 13 x 17, 11 x 17 factors of 4 480 333? Is 11 x 13 x 17 a factor of 4 480 333? Solutions Q3 - 32
最佳解答:
Q1 13C3-9C3=13*2*11-3*4*7=286-84=202 Q2 (a) (5C1)(45C3)=14190*5=70950 (b) 50C4-45C4=81305 Q3 The answer is 5C0+5C1+5C2+...+5C5=2^5=32 (By binomial theorem)
其他解答:
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