Question

From 6 programmers and 4 typists, an office
wants to recruit 5 people. What is the number
of ways this can be done so as to recruit at
least one typist ?​

Answer 1

Answer:

366 ways

Step-by-step explanation:

For atleast one typist following case can be formed

a) 1 typist and 4 programmers

b) 2 typist and 3 programmers

c) 3 typist and 2 programmers

d)4 typist and 1 programmers

so we can calculate this as

4C_1×6C_4 + 4C_2×6C_3 + 4C_3×6C_2 + 4C_4×6C_1

= 366 ways