Question
Question: Given 6 different toys of red colour, 5 different toys of blue colour and 4 different toys of green ...
Given 6 different toys of red colour, 5 different toys of blue colour and 4 different toys of green colour. Combination of toys that can be choosen taking at least one rod and one blue toys are-
A
31258
B
31248
C
31268
D
None
Answer
31248
Explanation
Solution
At least one red toy can be chosen in
= 6C1 + 6C2 ....... + 6C6
= 26 – 1 = 63 ways
At least one blue toy can be chosen in
= 5C1 + 5C2 ....... + 5C5
= 25 – 1 = 31 ways
Green toys (with no restriction) can be selected in
= 4C0 + 4C1 + 4C2 + 4C3 + 4C4
= 24 = 16
\ Total ways of selection
= 63 × 31 × 16 = 31248