Elective Maths 18

There are 6 nurses and 5 doctors in a clinic. 4 nurses and 2 doctors are to be selected from random. How many different selections are possible if a  doctor must not be included?

A man has one each of the following currency notes in his bag: $5, $10, $20, $50, $100, $200, $500 and $1,000. How many different sums of money can be taken from the bag, if only 4 currency notes are taken for each sum?

A committee consisting of 2 girls and 3 boys is to be formed from 6 six girls and 9 boys. In how many ways can this be done, if one particular boy must be on the committee?

A three-digit odd number is to be formed from the digits 1, 2, 3, 4, 5. If repetition is not allowed, in how many ways can this be done?

The deviations of a set of numbers from 12 are 2, – 5, – 4, 0, 1, – 3. Find the mean of the numbers.

A class consisting of 14 boys and 6 girls. If 3 boys and two girls are to be chosen to serve on a committee, find the number of ways of selecting the committee if one particular boy must be included.

Eight girls are to represent a school in an essay-writing competition and quiz. In how many ways can the grouping be done, if there must at least 2 girls for each competition?

In how many ways can the letters of the word MAINTAIN be arranged?

A committee of 3 is to be selected from 6 footballers and 7 boxers. In how many ways can this be done to include more footballers than boxers?

A committee of 3 is to be selected from 6 footballers and 7 boxers. How many such committees can be formed to include at least one from each group?

The deviations of a set of numbers from 12 are 2, – 5, – 4, 0, 1, – 3. Calculate the standard deviation of the numbers.

Find the standard deviation of the numbers 3, 6, 2, 1, 7 and 5.

Calculate the standard deviation of the numbers 4, 1, 8, 5, 9, 6, 3 and 4.

The standard deviation of a set of ten numbers is p. If each of the numbers is increased by 2, what will be the new standard deviation?

If the standard deviation of the set of numbers {1, – 3, 5, 7] is 2.24, find the standard deviation of the set (6, 8, 10, 12).

On the cumulative frequency curve, which of the following corresponds to the median?

In an examination, 75% of the candidates passed. What is the pass mark

A five-member committee is to be formed from six boys and four girls. If the committee must include exactly two girls, 7. There are 7 girls in a class of 20. Find the find the number of ways in which the committee could be formed.

There are 7 girls in a class of 20. Find the number of ways of selecting 3 boys and 2 girls.

In how many ways can a committee comprising a girl and two boys be selected from a group of three girls and five boys?