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How many 4 digit numbers in all are there in 10 base system |
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Answer» Answer: 9000 Step-by-step explanation: lets do it in a DIFFERENT way. Say we have a four digit number abcd _a_ _b_ _c_ _d_ . Now in our number system we have numbers from 0 to 9 and we NEED to replace a b c and d from by these numbers . Lets FIRST replace a . As no number can start with zero so we can replace a in nine ways i.e by 1 2 3 4 5 6 7 8 9 When it comes to replace b , we can replace it in ten ways i.e 0 1 2 3 4 5 6 7 8 9. In similar way we can replace c and d in ten ten ways. So we get _9_ _10_ _10_ _10_. Thus the total four digit number in decimal system is = 9 X 10 x 10 x 10 = 9000. Another simple way to answer this is given below. Smallest four digit number = 1000 Largest four digit number = 9999 So total four digit number =(9999- 1000) +1 = 9000 plz mark me as the brainliest |
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