CBSE Class 11-science Answered

Dear Student

FCPP, or the Product Principle is as follows. Suppose a certain operation can be performed in n₁ different ways. Following this operation, a second operation can be performed in n₂ different ways. Again, following this second operation, a third operation can be performed in n₃ different ways and so on. Then the number of ways in which the operations can be performed in the order indicated is n₁  n₂  n₃ ... n_k.

FCAP or the addition principle is as follows. Suppose an operation consists of performing exactly one sub-operation from among a collection of mutually exclusive (disjoint) sub-operations, say, s₁, s₂,..., s_k. In other words, the operation is performed if exactly one of s₁ or s₂ or ... or s_k is performed.
Further suppose that each of s_i, i = 1, 2 , ..., k is performed in n_i ways. Then the number of ways in which the operation can be performed is
n₁ + n₂ + ...+ n_k. If the operation consists of only two distinct sub-operations s₁ and s₂, then the number of ways is n₁ + n₂.

If there are only two operations to be performed, then the number of ways is:
n₁  n₂.

Hope it clarifies your doubt

Regards

Team Topper