From the digits 2,3,4,5,6,8 and 9 different 4 - digit numbers are formed ( without repetition.) what is the probability that a number selected at random from these is greater than 6254 ?
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Answer:
Probability = 121/420
Step-by-step explanation:
Total Number formed 4 digit number formed = 7P₄ = 840
Total Number formed which are greater than 6254 = 6258 , 6259 and number starting with 8 and 9
Total Number formed which are starting with 8 = 6 * 5 * 4 = 120
Total Number formed which are starting with 9 = 6 * 5 * 4 = 120
Total Number formed which are greater than 6254 = 2 + 120 + 120 = 242
Let E be a number selected at random from 4 digit number formed by digit 2,3,4,5,6,8 and 9 and is greater than 6254
P(E) = 242/840 = 121/420
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