JEE Advanced 2023 Mathematics question
Let be the set of all five digit numbers formed using 1,2,2,2,4,4,0. For example, 22240 is in while 02244 and 44422 are not in . Suppose that each element of has an equal chance of being chosen. Let be the conditional probability that an element chosen at random is a multiple of 20 given that it is a multiple of 5. Then the value of is equal to .
Answer: 31
Solution
A multiple of 5 must end in 0 (there is no 5). The first four digits come from : by digit counts (1s,2s,4s) there are such numbers. A multiple of
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