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A hint to get started

Distinguish nine-digit integers from nine-position binary strings

(a) How many different nine-digit numbers can be formed from five 0 s and four 1 s such that no three 0 s are together? marks

(b) Six people sit at a round table with eight identical chairs. Find the number of seating arrangements if

(i) there are no restrictions, marks

(ii) the seats are numbered. mark

[2011/TPJC/II/6]

CJC · Review problems · Question 5

Check whether the leading-zero convention is stated before counting digit strings.

Read the worked solution