Question
A team of 7 researchers is to be formed from 6
biologists and 4 chemists. Find the number of ways to form the team if it must include at least 5 biologists.Solution
Case I: 5 biologists and 2 chemists
Number of ways = 6C5 × 4C2 = 6 × 6 = 36 ways
Case II: 6 biologists and 1 chemist
Number of ways = 6C6 × 4C1 = 1 × 4 = 4 ways
Total number of ways = 36 + 4 = 40 ways
351Â Â Â 261Â Â Â 181Â Â Â 111Â Â Â 51Â Â Â ?
Find the 31st term of the series 25, 29, 33……
632, 560, 494, 434, ?, 332
1331      1000            729       512       ?             216
...2556   636    156    ?    6
3 5 15 75 1125 ?
...1. In series II, if ‘x’ is the right term, then find which of the following statement(s) are true.
I. x/124 is a factor 6 and 8.
73920, 9240, ?, 220, 44, 11
12 78 385 ? 4629 9260
...A number series is given below, which follows a specific pattern. If 'A' represents the 'x'th term and 'B' represents ...