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###### (1) (a) How many distinct 5-digit numbers (i.e. numbers between 20000 and 50000) cul be forni(XI...

(1) (a) How many distinct 5-digit numbers (i.e. numbers between 20000 and 50000) cul be forni(XI using lhe digits { I, %, 3, 4, 5, 6 such lhat no digils repcai'. (Hint: Count all the distinct numbers with no restriction on the leading (most significant) digit and then subtract the count of numbers with restrictions on the 1st digit) (b) (i) How many arrangements are there of the letters of MATCH (i) Of these, how many have the letters M and A adjacent? (i) How many have the letters M and A side-by-side in the order AM

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